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

`(1)/(3) x=(1)/(2)y`

now, we can plug y

`(1)/(3) x=(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