SOLUTION: Solve the problem by stating the equation you would use to solve and then solving it. Be sure to show all of your work. Midtown Antiques collects 5% sales tax on all sales. If tot

Algebra ->  Inequalities -> SOLUTION: Solve the problem by stating the equation you would use to solve and then solving it. Be sure to show all of your work. Midtown Antiques collects 5% sales tax on all sales. If tot      Log On


   

Question 403014: Solve the problem by stating the equation you would use to solve and then solving it. Be sure to show all of your work.
Midtown Antiques collects 5% sales tax on all sales. If total sales including tax are $1568.14, find the portion that is sales tax. Round to the nearest cent. UGH..BEEN HURTING MY BRAIN..HELP!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Midtown Antiques collects 5% sales tax on all sales.
If total sales including tax are $1568.14, find the portion that is sales tax.
:
Find the amt of the actual sales, without the tax, it will make sense to you then
Let a = amt of sales
then
.05a = amt of the tax
:
sales amt + tax amt = total amt
a + .05a = 1568.14
1.05a = 1568.14
a = 1568.14%2F1.05
a = $1493.47 amt of sales
:
Now we can find the amt of tax two ways
Subtract amt of sales from total amt
1568.14 - 1493.47 = $74.67 is the tax
:
or multiply amt of sales by .05
.05*1493.47 = $74.67 also