Question

Elizabeth and her children went into a grocery store and she bought $14 worth of apples and bananas. Each apple costs $1.75, and each banana costs $0.70. She bought 6 more bananas than apples. To determine the number of apples, w, and the number of bananas, y, that Elizabeth bought, which system of equations represents this situation?

a) $1.75w + $0.70y = $14
b) $1.75w - $0.70y = $14
c) $1.75w + $0.70w = $14
d) $1.75y + $0.70w = $14

Answer 1

The correct system of equations that represents this situation is $1.75w + $0.70y = $14.

Step-by-step explanation:

The correct system of equations that represents this situation is:

$1.75w + $0.70y = $14

This equation represents the total cost of the apples and bananas purchased by Elizabeth. The price per apple ($1.75) is multiplied by the number of apples (w), and the price per banana ($0.70) is multiplied by the number of bananas (y). The sum of these two products should be equal to the total cost of $14.