Question

Madelyn and her children went into a grocery store where they sell apples for $1.75 each and peaches for $1 each. Madelyn has $20 to spend and must buy no less than 14 apples and peaches altogether. If Madelyn decided to buy 3 apples, determine the maximum number of peaches that she could buy.

Answer 1

1.75x3=5.25

20-5.25=14.75 but since a peach is $1 Madelyn can buy 14 peaches and since it says no less than 14 apples and peaches but there are 14 peaches and 3 apples which make 17

Answer 2

Answer: 14 peaches

Step-by-step explanation: We know Madelyn must buy at least 14 apples and peaches altogether. Given Madelyn decided to buy 3 apples, we can set up equations to solve:

$Cost \ of \ apples \ = \ 1.75(3) \ = \ 5.25$

Therefore, when buying 3 apples, Madelyn pays $5.25. From this, we know the cost of the peaches she buys must equal $20 - $5.25:

$20 \ - \ 5.25 \ = \ 14.75$

Given peaches cost $1, we must find the greatest integer that 1 can be multiplied by to receive 14.75:

1 × 15 = 15

Because 15 > 14.75, and she cannot purchase a fraction of a peach, the maximum number of peaches Madelyn can buy is 14.