Money

Peter has 2x more money than Michael. However, if Peter gave Michael € 16, Michael would have 3.5 times more money than Peter. Find how much money was initially sent from Peter and how much Michael.

Correct answer:

m =  12
p =  24

Step-by-step explanation:

p=2m
3.5·(p-16) = (m+16)

p=2·m
3.5·(p-16) = (m+16)

2m-p = 0
m-3.5p = -72

Row 2 - 1/2 · Row 1 → Row 2
2m-p = 0
-3p = -72


p = -72/-3 = 24
m = 0+p/2 = 0+24/2 = 12

m = 12
p = 24

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