Question

Select the correct answer.

Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound.
The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?

A. 2.8 pounds of apples and 4.8 pounds of
grapes

B. 3.3 pounds of apples and 1.3 pounds of grapes

C. 3.8 pounds of apples and 1.8 pounds of grapes

D. 4.5 pounds of apples and 2.5 pounds of grapes

Answer 1

D.

Explanation:

To find how many pounds of each fruit she is buying, let's first begin by creating an equations for each of the fruits.

Apple = x

Grapes = x - 2

Total cost equation will therefore then be:

x + x - 2 = 13.76

2x - 2 = 13.76

2x = 15.76

Solving the equation for x, we find that:

x = 7.88

X gives us how much eat fruit cost, so now we must divided by the cost per pound of each fruit to find how many pounds of each were purchased.

Apple pounds = 7.88 / 1.68 = 4.69

Grape pounds = apple pounds - 2 = 2.69

The closest answer to what we found is D...

I hope this is correct!!