Question

Connie has saved up $15 to purchase a new CD from the local store. The sales tax in her county is 5% of the sticker price. Write an equation and solve it to determine the value of the highest priced CD Connie can purchase with her $15, including the sales tax. Round your answer to the nearest penny.

x + 0.05x = 15; x = $14.29

x - 0.05x = 15; x = $15.79

0.5x = 15; x = $30

5x = 15; x = $3.00

Answer 1

The maximum amount that Connie can pay for a new CD is $15, so we will keep this on one side of our equation. Next, we equate this to the sum of the CD's price and the tax. Let x represent the price of the CD. The sales tax applied will be 0.05x. Therefore, we get the equation 15 = x + 0.05x. Solving: 15 = 1.05x x = $14.29 The first option is correct.