Chapter 6, Problem 23SGR

To determine

To Find :

The sale price if Samuel paid a total of $1322.

Answer to Problem 23SGR

$1200

Explanation of Solution

Given Information:

Samuel bought a computer. The sales tax rate was 6% of the sale price, and he paid $50 for shipping.

Calculation:

  $\begin{array}{l}Let\text{ 'x' be the sale price of the computer}\text{.}\\ \text{Sales tax =6\% of }x\text{ = 0}\text{.06}x\\ \text{Amount Samuel paid for shipping = \$50}\\ Total\text{ amount Samuel paid = 1322}\\ \text{So, the equation that represents the given situation :}\\ x+0.06x+50=1322\\ Solve\text{ the equation for 'x':}\\ 1.06x=1322-\mathrm{50........}[\text{subtract 50 from each side]}\\ \text{⇒}\text{1}\text{.06x=1272}\\ \text{⇒}x=\frac{1272}{1.06}\mathrm{.................}[\text{divide each side by 1}\text{.06]}\\ \text{⇒}x=1200\\ So,\text{ the sale price of the computer is \$1200}\text{.}\end{array}$