Weighted Averages: Favourite GRE/GMAT Trick?

[@Caffeinated_Nihilist]

Your videos are more informational than a Magoosh subscription could ever be!

[@parth0p]

Hi Philip. I recently took GMAT. Watching your videos helped me immensely for quant. And this particular video was the pinnacle of it. Can't thank you enough for all your efforts put in these videos. May you get all that you wanted and a lot more in life.

[@anup_patel]

Earlier I used to solve these type of question using algebraic translations and was struggling with time management. This method significantly increased my accuracy and efficiency. Thank Philip. Really appreciate it.

[@TheTestedTutor]

Excellent Anup!

[@ShreyasSadhale]

Having my exam on 25th October and I've started watching each and every video of yours from last 3 days. The perfect tutor.

[@TheTestedTutor]

Best of luck! Thank you Shreyas

[@doyinsola.e6898]

You are an Amazing TEACHER , God bless you real good

[@TheTestedTutor]

Thank you! 😃

[@diodemiseeguono7451]

You made me love this topic. You are the best. Writing GRE in 4weeks

[@j.davidtovar7995]

Wow!! Seriously thank you so much for all your GRE videos. Taking the exam in 2 days, your videos have been extremely helpful for clearing concepts and as last minute review. Can’t thank you enough

[@TheTestedTutor]

Hope it went well Jorge!

[@hopefullnes4557]

How was your score ?

[@okezziukorigho2471]

All the way from Nigeria, I am really glad to be a subscriber and really ecstatic particularly for this trick, I solve weighted average questions on an average of 1 min 20s, but I have been able to beat it down to 30s. my exam is 1st week in nov and ill come here to testify.

[@TheTestedTutor]

Wow well done Festus, and good luck

[@kaustubhkarkhanis4584]

You lied Festus, where is the testimony ?

[@chiklachikla7641]

​@@kaustubhkarkhanis4584 they never keep their promise

[@sathyakalyanp7096]

but anyhow i applied this trick to a lot of the hardest weighted averages question and maaaan this works like crazy , thank you so much for doing this.

[@TheTestedTutor]

Excellent Sath!

[@kenndungu2926]

thanks i have been struggling with this concept for a whole day

[@bahmantahani2537]

Priceless… I’m still surprise why you do not have millions of subscribers!! Soon Philip, soon 🎉

[@santhoshchandrasekaran5950]

Seriously!! Thanks for the Videos!! This is helping me a lot more than most that I have been searching and reading. The way you explain, ingrains all the tips and tricks into my mind. My Time Management has improved a lot through your GRE Tutor Videos. Thank you.

[@chijiokemodestusokeke6059]

I couldn't have figured this out early enough without your trick. Thank you, Philip!

[@gabrielcvillalva879]

Where have you been all my life. This is a gem, your whole channel is a gem

[@vedaants.p.5243]

You, Sir, are a savior! Earlier I used to take 3 mins at least for these types of questions, but now this takes hardly a min.

[@savishra]

What a gem of a channel. Love you Phil!

[@ayanaaustin-depay]

This is hands down one of the best tricks that I could have learned while doing the GRE. I take my test on Saturday and this is such a time saver. I just want to say thank you for sharing this!

[@TheTestedTutor]

Wow and thabk you for the comment Ayana!

[@merringeorge3273]

You are a brilliant tutor and thanks for explaining the application with questions of such different nature and difficulty, which really aids in understanding the concept.

[@shivamshukla9486]

This is one of the most fascinating tricks I ever learned! Thanks a lot man Please continue uploading more tips & tricks of Quants :D

[@TheTestedTutor]

Thanks! Will do!

[@anilshahbaniya]

@@TheTestedTutor you nail it sir

[@aarushiaarushi1635]

This is amazing!! I have had a lot of tutors in the past, but none have been able to get through to me. Your videos are simple and different. I can actually understand and retain everything! Thank you so much!

[@TheTestedTutor]

Thank you so much Aarushi

[@janmejayspurohit]

Man this trick saves so much time this is brilliant

[@Freak51214]

This method in our tuition is called weighing scale method...! thank u sir for making these helpful videos.

[@sophythwe4330]

I was searching up KZbin video and found yours. This trick is WOW. Thank you so much for sharing it.

[@TheTestedTutor]

Thanks Sophy

[@kateezhou3802]

This is the best GRE Quant teacher of all!!

[@jadelamrani4509]

Wow, I was really struggling in finding answers quickly (over 2 mins) and with this trick I answer them in 10 seconds

[@stanislausjohn9197]

You truly deserve more Phil.. will try to get your channel a wider reach in every way possible... Please never stop uploading... Thank you so much!! :)

[@TheTestedTutor]

Thank you, I will Stanislaus

[@sandhyapaudyal2089]

Thanks for such an amazing lesson Philip!!! I hope I will do good in my real test with these tricks. I really find it hard to manage time and ur tricks seem to help with just that..

[@TheTestedTutor]

Thanks Sandhya and good luck!

[@caroleg1997]

great video ther Phillip. However, what if the weighted average is not provided could you please do a video tackling that?

[@soapmactavish7358]

Amazing trick! I tried to solve your questions in both methods: yours and algebra. Yours was much faster! Thanks a lot, again!

[@sharminchowdhury6040]

Need more such types of videos on GRE Quant! ♥️

[@TheTestedTutor]

OK!

[@JD-ef4ii]

You help me too much in saving time for the GRE, thanks a lot!

[@utkarshtiwari1234]

Hey Philip, great video I love it, i was wondering if you could make another video explaining why this even works so as to completely explain the underlying principle.

[@gulshankumar-rb3qg]

loved these tips and tricks by you.... i really don't like math but i guess watching and learning from your videos have made it super easy and fun solving these questions. wish you luck Sir

[@TheTestedTutor]

All the best, thank you gulshan

[@mahek8592]

This is the best trick I have encountered so far! I am so grateful to you and your videos, thank you so much :)

[@AT-hj5xl]

Thank you, Philip! Ure the best, I was struggling with this concept and this vid saved me! Please keep the videos coming! Best on youtube :)

[@TheTestedTutor]

Thanks, will do!

[@shazibchow4637]

Really,Now I am able to understand the mixture problem and able to solve it.I really love it. ❤️❤️❤️❤️ you too.

[@siddarth604]

We love the trick and we love you for such a clear and concise information. GBU !

[@jjs5421]

This was an epic shortcut. Thank you so much for this. I wish I’d discovered your videos much earlier, as it would have made studying more efficient..!!

[@TheTestedTutor]

Glad it was helpful! Never too late

[@hhaba1]

YOUR AMAZING JUST THE WAY YOU ARRRRRE

[@TheTestedTutor]

Aw thanks Huda

[@alessandravasi8089]

The BEST trick out there. How do you identify weighted averages vs mixtures vs other ratio problems?

[@jimb6554]

This is simply earth shattering!

[@diptoahamed8666]

You're my favorite man, i found your videos very helpful all along.

[@TheTestedTutor]

Glad you like them!

[@naunhoc92]

1st time heard of this trick and I'm so eager to learn more trick from you. Thanks a lot!

[@TheTestedTutor]

More to come!

[@harshitkumar5147]

This is an awesome trick, solving by creating equations used to take considerable time. Thanks.

[@giulioduregon6452]

Fantastic trick! Just discovered this channel and will be watching all the videos in this playlist. Thanks for the trick!

[@TheTestedTutor]

Awesome, thank you!

[@noorh9471]

Thank you so much for sharing this trick!!! I would have spent so much time on problems like these

[@MADDYMABSOOT]

That’s awesome! Thank you! Please keep making more of such videos. 🙏🏻

[@TheTestedTutor]

Will do!

[@BucketBoys]

I couldn’t agree more! Thank you so much for these videos!

[@aligbepeter4936]

Guy, you are just too good! Just wow!

[@JD-ef4ii]

The best of the Best Tutor!

[@ishansingh8759]

Philip you are an amazing teacher👌👌👌👌

[@oyakhiiwallaceibhagui4740]

Thanks Philip. This trick is superb and timely. God bless you real good.

[@abdurrasheed2938]

One of the simplest and quickest approaches ever for weighted average problems. Thanks sir

[@TheTestedTutor]

Glad to help

[@hansiwelangoda1895]

Thank you very much for the world's best teacher

[@TheTestedTutor]

Wow, you are so kind Hansi. Thank you for the amazing comments.

[@diptoahamed8666]

Thanks so much! Forever Grateful!

[@Augustusstewodro08]

On the last question, if 62.5 ml is the amount of cola , and then 325 ml will be the amount of lemonade, hence their sum will be 387.5. After we get this value 112.5 ml is left for water, but from question water only have 30% of the total of two containers because it only found in the first container, so that, how come 112.5 amount is left for water?

[@kay5309]

Super helpful video! Just a question though, what would be an indicator in a question that would lead one to the conclusion that it focused on weighted averages

[@오무아무아-n7y]

This is just.. mind blowing!! Thank you so much !!!

[@bilalansarkhan3008]

O come all ye faithful, rejoice!

[@abdurrazzakrana7162]

It's a super time-saving trick !!! Thanks a lot.

[@riyabhargava6105]

Thank you so so much for uploading this video. Your channel is absolutely brilliant!

[@TheTestedTutor]

So nice of you riya :)

[@amansandal4573]

Hey Phillip, In last question, why 70% is taken on the left hand side instead of right hand side? By convention we should take smaller number on left hand side right? Clarify my doubt please.

[@pranavpatil9494]

Thank you so much ♥️ Now this trick is one my favourite.. This trick is very useful

[@lilygibson9968]

Super helpful I have watched this a couple of times when I keep forgetting 🤦‍♀️! Many thanks for all your great videos and for never making me feel dumb 😂

[@TheTestedTutor]

Of course! :)

[@The-Film-Maker]

Man, thanks a ton for all this. I've been struggling with all these topics. :) God bless

[@sathyakalyanp7096]

hey phillip , i have a doubt on the last question, you said 1/4 of the mixture of glass B is in the resulting glass , but isn't it the calculation just for lemonade , so it is 1/4 of 65% of the resultant glass not 1/4 of the entire resultant glass. hence you cannot calculate 1/2 of 1/4 is the cola in the resultant glass. am I right?

[@TheTestedTutor]

No the 1/4 is for all of Glass B, not just its lemonade. This trick always gets you the overall proportion instantly...

[@teredlr7730]

Hi Philip! Great video! I wonder if you can made another video explaining the basic kind of charts that appeared in the GRE and how to read them. I tried several methods to learned how to read them but I find it difficult .

[@TheTestedTutor]

Great idea tere. I will add that to my priority list.

[@dev5289]

Thanks a lot for all these videos. Short and crisp.

[@kickb3090]

Your Work is amazing! I love your videos If I don't know any topic I would see your video make the topic clear.

[@TheTestedTutor]

Thank you so much 😀 Kick

[@towsiburrahman1890]

Your formula is fantastic!!

[@siddharthtaragi8150]

Hey Philip I got a name for the method " Alien-tech"

[@juancaballero5687]

This is GOLD

[@BritneyKoosa]

Hello, The middle number trick is helpful, however I got a bit confused why we did a 3/8 and 5/8 when we didnt do that in the previous question. Why didnt we Keep it as M=3/5 E and E+M=120 --> 3/5E+E=120 and solved for that. The numbers were different though. E=evenning M=matinee Thanks

[@saileshsivakumar1404]

vid = document.getElementsByTagName("video")[0]; vid.playbackRate = 2.5 paste and execute this on console if you want to watch video even faster than 2x.

[@TheTestedTutor]

I watch all my videos on 0.25 speed, helps with retention

[@saomshawleen6174]

amazing! thanks ^^

[@juanamariasolanomesa8671]

You are the best tutor! Tha nkyou so so much forever !

[@TheTestedTutor]

You're welcome juana!

[@saisureshmacharlavasu3116]

excellent and lucid

[@isratsharmin3931]

Excellent trick Glad I came across this chanel

[@TheTestedTutor]

Awesome, thank you!

[@aminahadhami2568]

Thanks a lot for teaching such amazing tricks 💡😊

[@baluveeren2966]

Thank you phillip , loved the trick.

[@shimmaira333]

You’re really god sent for me! Thank you🙏🏻

[@kenechukwuujam1479]

I got 43.75 ml for the last example. Here's my thought process: if 65% of the final mixture is lemonade then, the remaining 35% would be a mixture of water and cola. This now provides a weighted average for a water and cola mixture. Then, that 35% became my middle number while 30% and 50% where the values for water and cola respectively. Obviously, my answer was different from yours (so, possibly wrong) but I am finding it hard to pick out the error in my logic.

[@abhisheksah1867]

why use cola and water for number line philip mentioned to use simliar things like lemonade

[@kenechukwuujam1479]

@@abhisheksah1867 Thanks Abisheksah, I see what the problem is

[@md.sarwaruddinchowdhury2738]

Outstanding techniques. Thanks a bunch

[@TheTestedTutor]

Very welcome!

[@subashkafle5328]

@TheTestedTutor Last part: 65% of 500 ml= 325 ml lemonade in mixture; one fourth of which came from glass B= 81.25 ml lemonade from glass B. As glass B contails same amount( 50%) cola. Volume of cola=81.25 ml ??

[@pranavgandhiprojects]

this was really great tips.....thanks

[@farhajhasan3746]

Such an amazing trick! Thank you so much.

[@Sohail__Memon]

Thank you again for this video. Can you make a video on word problems with one/two variables from Manhattan 5 lb, or difficult word questions of ratio and proportion.

[@TheTestedTutor]

Great idea

[@aanshipaudel]

Thank you so much for the informative video, you've truly been of great help. However, I have a doubt in the last problem. At 13:35, you have mentioned that out of 500 ml mixture, 1/4 is from glass B. But that 1/4 is just from 65% of the mixture, not the whole 500 ml mixture. In other words, Glass B has contributed 1/4 of the 65% of the mixture, not the 500 ml mixture, isn't it?

[@TheTestedTutor]

The 65% is different, about the lemonade percentage of each. We only use that to work out the ratio of A and B. The 1/4 we get is now of the total, not just of the lemonade.

[@aanshipaudel]

@@TheTestedTutor Understood. Thank you so much.

[@adhingopuj6739]

This is an awesome method

[@robertkimani6103]

Upon attempting the first example using algebra; 0.3P + 0.15S = 0.26 and second equation of p+s = 1... solving the simultaneous equation gives a totally different solution as the ratio... Some clarity would be appreciated... @thetestedtutor

[@LEYLAKHANAHMADAZE]

Thank you Philip!

[@alphawolf9990]

Great explanation as always!

[@TheTestedTutor]

Thanks Alpha, good to hear from you again.

[@PAakash]

Excellent teaching skills !! I had one doubt, in the last example haven't the ratio been taken only for lemonade and not for the entire solution. So how can we take 1/4 to be solution B ? Thanks in advance!

[@shs4293]

I've the same conundrum aswell

[@Ghazalsoroush]

I have the same understanding problem, I tried to watch 2 more times the last example, but I don't get how you related the ratios of lemonade to get the part of Cola, thanks btw for everything.

[@santhoshj6854]

@Meghana Sharma For anyone reading the comments, the final ratio 3:1 (A:B) is the ratio in 500 ml of total mixture and not just the lemonade. You can prove this by taking 250 ml of A and B. Considering same percentages of cola, water and lemonade in A and B, you will have: A (175 ml lemonade and 75ml water) B(125ml of cola and lemonade). So final mixture will have 300 ml of lemonade which is 60 percent of final 500 ml mixture. So if you apply the same method, you will have the ratio 1:1 in the number line, for 50,60,70 percentages of lemonade, which as u can see is the ratio of A:B in final mixture and not just the lemonade.

[@TheTestedTutor]

We use lemonade only because we have the percentages for each of them and also a middle number average. This then reveals how much B is as a fraction of total. Then as only B has cola we just find half of B.

[@halimajalalova805]

Amazing explanation! Thank you 🙏🏻

[@TheTestedTutor]

You're welcome Halima!

[@sunny10785]

Amazing trick 🤩

[@tnaseh]

Hi Philip, Can tell how you solve the first example conceptually ? The short cut way is good to know, but i can not solve it the algebraic way.

[@Ansh_1190]

This is slightly difficult trick to put into practice, but great trick 👍🏻

[@immigrantwife3636]

Giving GRE in 2hrs. Still watching your videos🌸 wish me luck 🍀🧿

[@TheTestedTutor]

Good luck!!

[@moza9835]

Thank you so much!

[@janangirpolash2601]

thanks very helpful

[@NannaElise]

why is your skin so nice!?

[@TheTestedTutor]

A lucky angle I think 😃