Art of Problem Solving: Percent Word Problems Part 1

Art of Problem Solving's Richard Rusczyk tackles some word problems involving percents.

[JoseLuisPoncedeLeonyOrtiz]

Richard Rusczyk you're in a league of your own!!!

[anqi]

This helps a lot. Thankyou for sharing this :)

[hojiakbarsirojiddinov]

Great. Thanks very much! SO far, I have solved percent problems this way. But this time i opened my eyes to sth super important

[MrsSonji]

I have a question, I am a returning student after 25 years of no additional schooling. Can you help me figure out this problem?
What % of Freshman chose 1 out of 5 majors.
There are 64 freshman.

Thank you

[JanexConfetti]

For the wrong solution, 25%, on the second problem, you could've just took 100% - 25% and you'll get the correct answer 75%

[CarMiNe]

I'd appreciate you detailing the values you came up with because it was really hard to follow. Thanks for sharing though

[TheGamingPlanet_]

When he did it the wrong way in the end he created a ratio of 4 : 1.

[ghazalashaheen]

can you help with this? When the length of a rectangle is increased by $20\%$ and the width increased by $10\%$, by what percent is the area increased?

[ramonmadarang]

I like the way you explain the answer. I have a word problem that you can solve. If you can. Thanks A 50% + B 30% + C 20% = Total 400 gm. Calculate weight of B & C and total?

[TheFutureGhostHunter]

see that part you skipped when your good, is parts ppl need to oknow.... I don't just letting you know. Thanks for sharing

[nathanielbull]

question two is wrong it is imposable to know the answer because they could have gotten a tie

[adrianferguson]

Please don't skip through any steps and go slower everything else is good though

[maryamessa]

i actually didnt understand the way he solved at all, :$

[juicywonton]

I got lost when you got to 1/4 =25/100 ??? how did you get that?