Question

A grocery store sells both green grapes and red grapes for a regular price of $2.89 per pound. Nelson buys 1.5 pounds of green grapes and 2.25 pounds of red grapes at the store on a day when the regular price is reduced by $0.75 per pound. Which of the following expressions represents the amount, in dollars, that Nelson will pay for the grapes?

A.(1.5×2.89)+(2.25×2.89)
B.(1.5×(2.89−0.75))+(2.25×(2.89−0.75))
C.(1.5×2.89)+(2.25×(2.89−0.75))
D.(1.5×(2.89−0.75))+(2.25×2.89)

Answer 1

The correct expression for Nelson's total cost of grapes after the discount is applied is (1.5 × (2.89 - 0.75)) + (2.25 × (2.89 - 0.75)), which is option B.

Step-by-step explanation:

The student asks to determine the correct expression for the total cost of grapes when there is a discount on the regular price per pound. To find the correct total cost when purchasing 1.5 pounds of green grapes and 2.25 pounds of red grapes at a reduced price, we need to account for the discount in our calculation.

The regular price per pound of the grapes is $2.89, and the discount is $0.75 per pound. Thus, the discounted price per pound is $2.89 - $0.75 = $2.14 per pound. To calculate the total cost, we multiply the quantity of each type of grape by the discounted price per pound. Therefore, the expression for the total cost is (1.5 × (2.89 - 0.75)) + (2.25 × (2.89 - 0.75)), which corresponds to option B.