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 $2.48 per pound. the cost of the fruit, before tax is $13.76. how many pounds of each fruit is she buying?

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

Step-by-step explanation:

Let

x ------> the number of pounds of apples

(x-2) -----> the number of pounds of grapes

we know that

Solve for x

so

therefore

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

Hence She buys 4.5 pounds of apples and 2.5 pounds of grapes.

Step-by-step explanation:

Cost of 1 pound of apple = $1.68

Cost of x pounds of apple =  1.68 x

She buys 2 fewer pounds of grapes  i.e. (x-2) pounds.

Cost of 1 pound of grapes =  $2.48

Cost of (x-2) pound of grapes =  2.48 (x-2)

The cost of the fruit, before tax is $13.76.

So,

She buys 4.5 pounds of apples.

She buys grapes = (x-2)=(4.5-2)=2.5 pounds

Hence She buys 4.5 pounds of apples and 2.5 pounds of grapes.