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?

1 Answer
Jul 28, 2018

Answer:

See a solution process below:

Explanation:

The formula for total price including tax is:

#t = p + pr# where:

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

  • #p# is the price paid:
    #" "#$15 for Dave's baseball
    #" "#$20 for Mel's football

  • #r# is the tax rate. 8% for this problem.
    #" "#"Percent" or "%" means "out of 100" or "per 100", Therefore 8% can be written as #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#