# Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for$20 plus an 8% tax. What is the difference in the amount Dave and Mel paid, including tax?

Jul 28, 2018

See a solution process below:

#### Explanation:

The formula for total price including tax is:

$t = p + p r$ where:

• $t$ is the total amount paid. What we will have to solve for in the problem.

• $p$ is the price paid:
$\text{ }$$15 for Dave's baseball \text{ }$$20 for Mel's football • $r$is the tax rate. 8% for this problem. $\text{ }$"Percent" or "%" means "out of 100" or "per 100", Therefore 8% can be written as $\frac{8}{100}$. Total Price Dave Paid: t_D =$15 + ($15 xx 8/100) t_D =$15 + ($120)/100 t_D =$15 + $1.20 t_D =$16.20

Total Price Mel Paid:

t_D = $20 + ($20 xx 8/100)

t_D = $20 + ($160)/100

t_D = $20 +$1.60

t_D = $21.60 Difference in Total Price Paid: $21.60 - $16.20 =$5.40