2/5 of Elvis's money was 6/7 of Noah's money. After Noah received $20 from his mother and Elvis spent $36 on a bag, both of them had an equal amount of money left. How much did Elvis have in the end?

Guest Apr 24, 2021

#1**+1 **

Lets say E is Elvis's money and N is Noah's Money

Start by making an equation:

2/5•E=6/7•N

And make a second equation:

N+20 = E - 36

N + 56= E

You can derive this from the second sentence.

Then plug in N+56=E into the first equation:

2/5(N+56)=6/7 N

Multiply by 35 on both sides to cancel the denominators

14(N+56) = 30 N

14 N + 14 • 56 = 30 N

14 • 56 = 16 N

Divide both sides by power of 2 till N is isolated so the calculation isn't so messy.

14 • 7 = 2 N

7 • 7 = N

49 = N

Reread the question now to see what the question was about:

We need to find elvis's money at the end

That is equal to 49+20 = 69

So the answer is **$69**

Guest Apr 24, 2021