Question

Todd and Agnes are making desserts. Todd buys

peaches and a carton of vanilla yogurt. Agnes
buys apples and a jar of honey. They bought
the same number of pieces of fruit. Is there a
situation in which they pay the same amount for
their purchases? Explain.
apples
peaches=
$1.25 ea. For peaches
$1 ea. For the apples
YOGUR
HONEY=
$4 for yogurt
$6 for honey

Answer 1

If the number of fruits is 8, then Todd and Agnes will pay the same amount for their purchases

Explanation:

Let

x ----> the number of pieces of fruit

y ----> the total pay for the purchase

we know that

Todd

`y=1.25x+4` ----> equation A (peaches plus a carton of vanilla yogurt)

Agnes

`y=1.00x+6` ----> equation B (apples plus a jar of honey)

Equate equation A and equation B and solve for x

`1.25x+4=1.00x+6`

`1.25x-1.00=6-4`

`0.25x=2`

`x=8\ pieces\ of\ fruits`

therefore

If the number of fruits is 8, then Todd and Agnes will pay the same amount for their purchases