Question

Amy and John shared 150 peaches. (1/3) of what Amy has equals to (1/2) of what John has. How many does Amy have? How many does John have?

Answer 1

If my math is correct amy has 90 and john has 60

Answer 2

Let's assume

Amy has x peaches

John has y peaches

Amy and John shared 150 peaches

so, we get

$x+y=150$

now, we can solve for y

$y=150-x$

we are given

(1/3) of what Amy has equals to (1/2) of what John has

$\frac{1}{3} x=\frac{1}{2}y$

now, we can plug y

$\frac{1}{3} x=\frac{1}{2}(150-x)$

we can cross multiply

and we get

$2x=3(150-x)$

$2x=450-3x$

$5x=450$

$x=90$

now, we can find y

$y=150-90$

$y=60$

so,

Amy has 90 peaches

John has 60 peaches..........Answer