Question

Andre is at the grocery store and purchases 5 pounds of bananas at x dollars per pound. He also purchases 6 pounds of apples at y dollars per pound. There is a 10% sales tax on groceries. Which expression can be used to find the total cost of Andre's purchases?

A) 5x + 6y
B) (5x + 6y)(0.10)
C) (5x + 6y) + (5x + 6y)(0.10)
D) (5x + 6y) + (5x + 6y)(0.90)
E) (5x + 6y) + (5x + 6y)

Answer 1

The total cost of Andre's purchases, including a 10% sales tax, is calculated by the expression (5x + 6y) + (5x + 6y)(0.10), which corresponds to option C.

Step-by-step explanation:

The question asks us to find an expression that can be used to calculate the total cost of Andre's purchases, including a 10% sales tax. To find the total cost before tax, you multiply the quantity of the items purchased by their respective costs per unit: 5 pounds of bananas at x dollars per pound and 6 pounds of apples at y dollars per pound. This gives us the expression 5x + 6y.

To include the 10% sales tax, you would take the total cost before tax, (5x + 6y), and add 10% of this cost to it. Therefore, to calculate the total cost with tax, the correct expression is (5x + 6y) + (5x + 6y)(0.10), which matches with option C. This expression accounts for both the initial cost of the fruits and the additional cost due to sales tax.