Respuesta :

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

Let's assume

Amy has x peaches

John has y peaches

Amy and John shared 150 peaches

so, we get

[tex] x+y=150 [/tex]

now, we can solve for y

[tex] y=150-x [/tex]

we are given

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

[tex] \frac{1}{3} x=\frac{1}{2}y [/tex]

now, we can plug y

[tex] \frac{1}{3} x=\frac{1}{2}(150-x) [/tex]

we can cross multiply

and we get

[tex] 2x=3(150-x) [/tex]

[tex] 2x=450-3x [/tex]

[tex] 5x=450 [/tex]

[tex] x=90 [/tex]

now, we can find y

[tex] y=150-90 [/tex]

[tex] y=60 [/tex]

so,

Amy has 90 peaches

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