MIXTURE PROBLEMS! GRE / GMAT + 10 Worked Examples

[@jonathonbaroi3566]

I just have to stop and say, wow, you are giving all these for free? You're truly a blessing for all of us!

[@manasvininittala5777]

Such a life saver! Always had a problem with mixture questions but this helped a lot.Thank you

[@TheTestedTutor]

You're very welcome!

[@bradyjackson8773]

This video was IMMENSELY helpful. Every time I have a mixture question I get it right after watching this! THANK YOU for breaking this down in an engaging and helpful manner.

[@kunalkokate4321]

I always found mixtures to be miserable and I cannot solve those questions until now. You have explained all types of questions so coherently that I can solve any of these now easily. Thanks for saving me!

[@alexdaniels6932]

This is one of your best videos. You do a great job explaining and the repetition is great for me. This video has been an amazing confident booster as I get ready for the GMAT

[@TheTestedTutor]

Thanks Alex! :)

[@kritikasony9478]

Your tricks and tips are so useful! I was super bad at Quant and your videos made me so much better! I had my exam yesterday and I scored 317 (156V, 161Q) and hopefully these scores are good enough for the universities I'm applying to. BIG Thank You, Philip! 😀 Couldn't have done it without you.

[@AkhilKumar-cw1me]

Hey Kritika, can you share study material for verbal?

[@motionkings]

​@@AkhilKumar-cw1mehow much did u score

[@shreyarora1049]

I have my GRE in less than 36 hours and I just forgot that this topic is in GRE syllabus, although I gave 18 mock tests, I never came across a mixture question. But you never know, what might come in the real test, so this method just saved my time and now I feel very confident

[@meghanarao7633]

I got these questions wrong on my mock GRE test!!! YOU ARE A SAVIOUR!!!

[@lwij6845]

Philip your videos are really great. I watched majority of them. I had my exam a while ago. Got my unofficial scores Quants 159 Verbal 153. Keep posting. Thankyou.

[@TheTestedTutor]

Great job wij!

[@amnaammar5288]

How long did you study for quant?

[@prabhudattamishra7245]

Never thought mixtures would be this easy. Philip you are a genius ❤️❤️

[@rohankhanna95]

Those tough questions where you are reversing the mixture-trick - Instead you could just calculate the litres of orange juice/water (depending on the question) and finally dividing by total fluid volume. It just made it a little easier. Other than that thank you for helping me iron out mistakes and completing my mixture syllabus... 1yr late - but your content is bomb!

[@CayenneGT]

Answer for the last question is 19:81. (wine : water). Thanks Philip for the wonderful method. God bless you!

[@venkatadurvasula6379]

I have my exam in 2 days, and these mixtures have baffled me, thank you so much Philip

[@siddharthtaragi8150]

"The Achilles' Heel" . Thanks Philip for this emPOWERING method

[@parthbhardwaj669]

Woah, so helpful!! I am preparing for my GMAT and I really struggle with Quant. This video literally helped me with my basics for Mixture Problems. Thank you so so so so much!!

[@deliciafernandes9946]

Best tutor for FREE!! I mean what more can one ask 💗

[@nikithaagnew7263]

Thanks a bunch, Philip! Your method and numerous examples gave me a much better understanding of mixtures.

[@SaniRattani]

Hey Philip, thank you SO MUCH for all of your incredible videos! Could you PLEASE do that last cistern question where the 5 litres of water is removed and replaced by 5 litres of wine, and then 5 litres of the resulting mixture are removed and 5 more litres of wine are added. What is the ammount of waterin the resulting mixture?

[@yash3623]

This was so useful, I never understood the "why" part of allegations and mixtures and this video really helped.

[@The-Film-Maker]

mixtures was my weakness, and now my confidence is boosted! Thanks man. :)

[@rishiksarkar62]

Thank you so much sir! This video was really helpful. You are a legend and your explanation is fabulous. This channel is so underrated and I really wonder how come you have so less subscribers? Keep growing and may god bless you!

[@jamescarr9979]

I love this method -- so easy to remember, graphically. The inversion reason I don't fully get, but I will mull over the distance being inversely proportional to the weighted average

[@Kayani_70]

Was really struggling on mixture questions but now they seem like a piece of cake. Thankyou so so much Philip❤❤❤

[@mrunallveer7675]

Thank you so much for making difficult topics easier!! Can you please make a video on successive replacements in Mixture and Alligation?

[@anupriyap5446]

Thank you so much, Allegation and mixtures topic was a great problem for me. But this video solved it like a magic. Concepts were explained easily and simple to understand. Questions were awesome. once again thank you for the video!!

[@AadeshUpadhyay]

Bro this is gold! 💯💯💯 Thank you!

[@TheTestedTutor]

Thanks so much for the comment Aadesh! You the man.

[@amehgift6105]

You have been saving lives. Kudos to you sir

[@rahuld7695]

Thanks Philips. I improved my quants score because of you

[@kamaicfraser858]

thanks for the video i used it for the questions, i found the formula C1V1+C2V2=C3V3 and V1+V2=V3 easier. when the applications of these formulas didnt appear straightforward, i do a diagram to get my equations. I was able to solve all the ones you posted with little trouble. thanks again

[@naoshinsharmin8132]

Thank you so much! I was looking for this exact method, and found your video. It was very helpful!

[@ernestorhena2975]

You don't have it better than this! Thanks, Philip

[@natarajanparameswaran6752]

This method is called as alligation.

[@Nahidhasan02]

Thank you so much for the name. I searched it and learnt it in my native language first and then solve these math problems from this video. So it became easier to understand

[@aryaasvadishirejini8184]

Thank you so much. Your content is really helpful, especially, for students whose mother tongues are not English.

[@moharchaudhuri1361]

Thank you Philip for this gem of a video. Indebted.

[@onlyshorts8620]

Wow ..the method is really amazing and effective 🔥🔥Thanks Philip keep up the good work 👍👍

[@LearnerFromIndia]

Thankyou so much Sir !! Have my exam on 15th Oct 10am , wish me luck

[@junaidibnalam9840]

You are really a great teacher , Sir. salute

[@wreckkp7069]

hi, I m from India I know its late to comment as this Vedio was posted last year, but it helped me a lot for my Gmat exam revision

[@nanabaffour8820]

Mixtures made very simple. Thanks for the help. Please do a video on data interpretation, pie chart, bar chart and line graph.

[@KiranKumarYT]

Amazing technique.

[@adichaganti1589]

thanks a lot for this video. This helped me overcome my fear of mixtures!

[@YashPatel-bq1nh]

Your method is just amazing. Thank you sir!!😄

[@mdshahidulislam3982]

Thanks, sir. I need this kind of video for solving my problem which was I faced in the maximum mixture problem.

[@TheTestedTutor]

Happy to help MD

[@deeb8189]

@TheTestedTutor Hi, thank you so much this video really helped me understand mixture problems! I have a follow-up question about the last question around 26:35. How did you know to use the 20 litres on the 10% side of the mixture? I thought is was the total litres for the mixture not a ratio.

[@sanskarkaazi3830]

Can you make more videos on "mixture" and "Words to Algebra" Questions please. How many of these questions appear on the GRE ??? If possible please do other types of "words to algebra" question which maybe has a pattern. That would be so helpful.

[@ukodavid2211]

Beautiful Walkthrough. Thank you. I found this really helpful

[@jbongco]

Thank you so much for this!!! Was struggling all weekend.

[@Joecool207]

Absolutely great video and explanation

[@joeboxter3635]

You did a magoosh test where alcohol and water were 4 Oz to 4 Oz. They wanted to add water to get to a 3/5 ratio. I tired to use this method, but got the wrong answer. I used 50% Water and 5/8 or 62.5% desired of water. Then added 100% water to 8oz.

[@pekou785]

Very nice practise set of mixture problems!

[@alizey1096]

you are such a life saver!

[@devanshi4130]

Watching this 1 day before my gre. :)

[@TheTestedTutor]

Hope it went well

[@rishikyadav7495]

best video by best teacher

[@sanketsinha8933]

thanks for the amazing explanation. Life made much simpler.

[@reddragon6317]

awesome technique . i went through magoosh question they used simultaneous equations to solve this. but your method cuts the time in half

[@lonen3rd]

Amazing. Thank you Philip.

[@arunprasathjayaprakash3732]

thank god i found your video, wonderfull examples and explanation thanks a lot🤓

[@alicekamau4631]

I really like your explanations...

[@rudranshnagar6363]

This is simply brilliant!

[@saeed577]

This video is absolutely amazing. Thank you a lot

[@muhammadsaifuddin5711]

You are a savior !!

[@evangentry7140]

Very helpful method. thanks a lot!

[@danielacantillo3683]

Thank you! This was really helpful. I was trying the following exercise with your method but I am getting 9:1 water: CA , ( the correct answer is 7:1 ) any suggestions? The problem is : Chloric acid and phosphoric acid will be mixed to make a solution of 10% chloric acid and 20% phosphoric acid. How many liters of chloric acid should be added to a liter of distilled water to make the solution?

[@musicxmoreno]

LIFESAVER!!! Really well explained!

[@sreemayeeghosh]

Thanks for your trick. It cuts the time in half at least ❤

[@musicai445]

I like the one I learned in chemistry C1*v1=C2*v2

[@parttimedude5440]

You have escaped the MATRIX

[@angelaye2620]

I'm confused on how the 3:2 ratio got us the answer for how much water should be added to produce the 10% saline. Can you further explain? Thank you so much for your videos. I find your tips so helpful.

[@AkimboFennec]

I can explain it to you. First of all, you are given that he found 20 ounce bottle of 25 percent saline solution. What does this mean in plain terms? Well, you have a mixture that is 25 percent of the volume saline and 75 percent of the volume water. So if you have 20 ounces of total liquid volume, then 25 % of 20 ounces is 5 ounces of saline, and therefore 15 ounces of water in that total 20 ounces of the entire liquid. So, write this down: 5 ounces of saline and 15 ounces of water. Hope it makes sense so far. Now we need to add some water to this same mixture of 5 ounces and 15 ounces of saline to water respectively, so that the total volume of saline is 10 % of the new combined volume of the entire liquid. Let’s call this new total X. Now what number X should you multiply by 0.1 to get 5 ounces of saline? Well it is 5 / 0.1 which is 50. Think about this, if the total amount of all liquid is 50 ounces, and we know that 5 ounces of this liquid consists of saline, then this represents 10 percent of the total amount. Now in the original mixture we had 15 ounces of water. Since we calculated that the new mixture contains the same 5 ounces of saline, then for the total volume to be 50 ounces, it must be the case that 45 ounces should be water. And here is the final piece of the puzzle: before we had 15 ounces of water, now we must have 45 ounces, so how many ounces of water should you add to 15 ounces already contained in the original mixture to get 45 ounces of water? Well it is 45 -15 =30. I hope that this explained the problem. Let me know if you find this explanation useful. (One advise is the following: when you solve these mixture problems draw them on a piece of paper as a big rectangle, then divide this rectangle with a horizontal line and label the volumes of different types of liquids with numbers that you are given. For this problem, you could draw a rectangle, then draw a horizontal line that splits this rectangle at 1/3 and 2/3 parts, and label 5 ounces the smaller part of the rectangle with saline, and then label 2/3 parts of this rectangle as water and give it 15 ounces. This way you always separate different compounds from each other and you will see everything very cleanly)

[@arukshitasood5758]

such an good video - mixture question always scared me but this was extremely helpful :)

[@Brave4]

17:52 Here is my logic, 7 liters contains 40% water - - > (7)(0.40) = x 18 liters contains 20% water - - > (18)(0.20) = y Now, the mixture will contain - - > x + y = 2.8 + 3.6 = 6.4 liters of water We have to answer in percentage, so the total water in both solutions = 25 hence, 6.4 / 25 * 100 = 25.6

[@basithzohail.n877]

can you please explain the concepts hidden behind this short cut method.

[@fatcatisfattt]

Hello Philip! Thank you so much for this video! How would you actually solve the very last question? (the question on Cistern)?

[@PriyankaHWork]

such a great trick, thank you for this!!

[@harisharyan5174]

Very insightful

[@saisureshmacharlavasu3116]

excellent and thanks

[@hyrumsmith102]

For the vinegar and oil one, the 7.2 is the final ounces of oil to make it 25% right? But what about the oil that was already there in the mixture? The question is asking how much we'd need to add...

[@saniyaanklesaria5138]

Hey, just had a doubt in these two questions. Can you help solve it with your method If a portion of a half water/half alcohol mix is replaced with 25% alcohol solution, resulting in a 30% alcohol solution, what percentage of the original alcohol was replaced? A 5-liter jug contains 4 liters of a saltwater solution that is 15 percent salt. If 1.5 liters of the solution spills out of the jug, and the jug is then filled to capacity with water, approximately what percent of the resulting solution in the jug is salt?

[@kabitadhital9441]

You are great!

[@sreemayeeghosh]

What about the percent of soap from Detergent A in the final mixture? Sorry for anything I might have missed

[@syedafaryal1002]

Thank you Philip. It's wonderful. Can you please tell whether the last question's answer was 1:4?

[@sadiayeasmin3346]

no, It is 19:81.... Here is the solution books.google.com.bd/books?id=76szEAAAQBAJ&pg=PA20&lpg=PA20&dq=a+cistern+contains+50+L+of+water.5L+of+water+is+taken+out+and+replaced+by+wine.The+process+is+repeated+again.Find+the+proportion+of+wine+and+water+in+the+mixture&source=bl&ots=_GY-TGVKhy&sig=ACfU3U1-chyG4-SOxfK6yvqoTWjEQWPfiw&hl=en&sa=X&ved=2ahUKEwi4xvGBjbD6AhWwFbcAHQYjCAEQ6AF6BAgIEAM#v=onepage&q=a%20cistern%20contains%2050%20L%20of%20water.5L%20of%20water%20is%20taken%20out%20and%20replaced%20by%20wine.The%20process%20is%20repeated%20again.Find%20the%20proportion%20of%20wine%20and%20water%20in%20the%20mixture&f=false

[@marknavaii6373]

Thank you! great video keep it up

[@sruthirammohan4627]

How to choose the percent for pure oil or pure water or pure alcohol? Is it based on the question or is it like chosen values? Can you please explain?

[@lotannadon5614]

thank you so much!!!! youre the GOAT!

[@natarajanparameswaran6752]

we can also solve the ones for which middle number is not given by using weighted average formula right?

[@TheTestedTutor]

As in thr examples at the end yep

[@aarykiller]

Thanks a lot !! super helpful

[@goodlucknwaloka6422]

Wow,thank you

[@asifmahmud3417]

Excellent

[@imranhossain9279]

BEST VIDEO EVER ❤️

[@mahadihassan4008]

Thank you so much! You made it simple as water.

[@shriyapandita4295]

Omg you are a saviour!

[@TheTestedTutor]

Thanks Shriya! :)

[@qMohona-yy2ro]

IS THE FIRST ONE CORRECT? I am getting different answers from the websites you mentioned?

[@saitejagoruganthu4045]

Hi Philip...Great Explanation...I wanted to ask something about the last but one question....You have used water as content on both sides, i.e 10% and 100%...but after getting the ratio you seem to put 20lit of brandy into the first part of the ratio....Pardon me if my question doesn't make any sense.

[@suhasijain2546]

I hope you got to the part where we get the ratio of the resultant mixture as 5:1. Now we know that the 20 L brandy is the one with the 10% water in it - this is also the "5" in the ratio 5:1. Now to make 5 representative of 20, we multiply both sides of the ratio by 4. 5 times 4 is 20 L (Our original brandy) and 1 times 4 is 4. So that's your answer! Hope this helps. :)

[@nandofabian]

Thank you so much!!

[@rusticproductions]

Hey Philip, How much of a 20% acid solution would a chemist have to mix with one liter of a 40% acid solution to yield a 36% acid solution? for the above question, I am getting the answer to be 200 using your technique but the answer is 250. I don't know if I am getting it wrong or if this technique isn't right. Could you please help me with this?

[@kenechukwuujam1479]

Please, I am not yet clear with these mixture calculations. Does it mean that at each point of mixture comparison, the concentrations on the number line must be of the same type? That is, one can only compare water vs water concentrations and then do the subtraction on the number line, and not water vs brandy?

[@Vanity248]

How do you rate the scholarden questions for practising quant ? Also suggest a source to practice medium/hard level questions for GRE

[@OpheliaVegetable]

For the first question, simply come up with the equations 0.2X+0.45Y=0.35 and X+Y=1, then solve for X.

[@Emily-fp4dq]

Hey Philip, thanks for the video. Could you help with the wording of the second example? 25% of the 20 ounce bottle threw me... I thought it meant that the scientist must have 5 ounces of saline in their bottle? So when it came to getting the amount to add at the end I got it wrong. Thank you!

[@TheTestedTutor]

Hey Emily, it's not 25% of the 20 ounce - that's just the amount of salt, which we don't care about. We used the percents of salt (0, 10, 25) to establish a middle number and therefore a ratio in the amounts (ounces) of each thing. We calculated that the ratio of water to bottle is 3:2 and knowing that there's 20 ounces of bottle means there must be 30 ounces of pure water. Hope this helps!

[@Emily-fp4dq]

@@TheTestedTutor are you able to summarise how you would use your method for this question: A chemist is mixing a solution of acetone and water. She currently has 30 ounces mixed, 10 of which are acetone. How many ounces of acetone should she add to her current mixture to attain a 50/50 mixture of acetone and water if no additional water is added? (A) 2.5 (B) 5 (C) 10 (D) 15 (E) 20

[@enjoy9772]

The brandy one messed me up. Tried doing it with water but couldn't figure out a percent for the water. Thought it was X, and would be solving for the percent, but couldn't find a ratio. Looked at it again, and ended up using Brandy percentages on the number line. 90%, 75%, and then 0% for the pure water mixture.

[@marialuisahernandezenriquez]

Loved it, thanks!