Q9. - Algebra 1

Question

PROM GAMES A computer game costs $49.95 plus a 6.25% sales tax. What is the total cost of the game?

Step-by-Step Solution

Answer

The total cost of a computer game is $53.071.

Step 1. Use the definition of the percentage change.

The percent change is the increase or decrease in the value of a quantity. If the new value is larger than the original value then it is a percent increase and if the change in value is lesser than the original value it is called percentage decrease.

Sales tax is a percentage of the original cost which is added before selling an item. The final price is called the selling price. 

Step 2. Find the total price change.

If we let the total cost of a computer game be x, and the original price is $49.95, is given. 

x can be calculated as:

$\begin{array}{l}x=6.25\%\times \$49.95+\$49.95\\ x=\frac{6.25}{100}\times 49.95+49.95\\ x=0.0625\times 49.95+49.95\\ x=3.121+49.95\\ x=\$53.071\end{array}$

Thus, the total cost of a computer game is $53.071.