Question

Luis bought a smart watch at a store that gave a 15 percent student discount off its original price. He paid to the cashier d dollars, including a 7% sales tax on the discounted price. Write an equation that represents the original price of the smart watch in terms of d?

Answer 1

To find the original price of the smart watch, use the equation P = d / (1.07 * 0.85), where P represents the original price and d represents the amount paid including sales tax.

Step-by-step explanation:

To find the original price of the smart watch, we need to reverse the calculations. Let's assume that the original price is P dollars. The student discount is 15%, so the discounted price is 85% of P, which is 0.85P. Since the student paid d dollars including a 7% sales tax on the discounted price, we can set up the equation as follows:

d = 1.07(0.85P)

To solve for P, we can divide both sides of the equation by 1.07 and 0.85. This gives us:

P = d / (1.07 * 0.85)

Therefore, the equation that represents the original price of the smart watch in terms of d is P = d / (1.07 * 0.85).