MATHCOUNTS Mini #73 –More Than One Way to Solve a Problem

This video re-enforces the concept of solving a problem multiple ways to validate your answer.

Video by Art of Problem Solving's Richard Rusczyk, a MATHCOUNTS alum. Visit Art of Problem Solving for many more educational resources.

[jwm]

...another approach to the 'job completion ratio" problem is to note that if Andre does 5/6 of the job in same time that Michael does 3/4 of job, multiply each side by 4/3, yielding 1 on right side (Michael does whole job), while Andre does 5/6 x 4/3 = 20/18 = 10/9 ratio of Andre to Michael.

[gabbadou]

Woah thanks I’m so grateful, you helped me sooo much with my mathematic exams

[dhilanpatel]

Richard, I just took this State Sprint test and got a 12, and I got both of these problems correct. Can you solve the harder problems please??!!

[sighmaniacrotmg]

I'm in high school and I still watch these videos

[keshavb]

Both problems are easy. for 1, it's x+y=10 and 2x+3y=26, where y=6, and 5/6 and 3/4 to 10/9 to 1, so 10/9.

[SathvickSatish]

So what's the answer for the second problem? I didn't quite get it. Is it 10/9???

[shaunwu]

that moment u realized this guy is 60 years old

[gurleenkaur]

you can teacher better... its just that you beat about the bush