Question

Dennis is going to purchase x tickets to a school play at a cost of $8.00 each. He remembers a coupon he was given that will reduce the total ticket cost by $0.50. Since Dennis is a member of the school faculty, the total cost of the tickets after the coupon reduction will be reduced by an additional 25%. The total amount, in dollars, that Dennis will spend to purchase x tickets, with the given reductions, can be represented by the expression below. (8x−12)−14(8x−12) Which of the following is an equivalent expression?

Answer 1

Answer: 104x + 156.

Explanation:

The expression (8x - 12) - 14(8x - 12) can be simplified as follows:

(8x - 12) - 14(8x - 12) = (8x - 12) - 14 * 8x + 14 * 12

= (8x - 12) - 112x + 168

= -104x + 156

So, the equivalent expression is -104x + 156.