SOLUTION: Can you help, please. I have been working on this for a long time. Write an equation for this situation, then use it to solve the problem. Jacob buys a new winter coat th

Question 1009409: Can you help, please. I have been working on this for a long time.
Write an equation for this situation, then use it to solve the problem.
Jacob buys a new winter coat that is on sale for 25% off. The sales tax is 8%. He pays for his coat with 3 twenty dollar bills and gets back $14.64 in change. How much was the coat originally?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
$60-$14.64=$45.36
So he paid $45.36
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With sales tax, $45.36 is 108 percent of the sales price.
$45.36/1.08=$42
So $42 was the sales price.
.
25% off means he paid 75% of the original cost.
$42/0.75=$56
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ANSWER: The original cost of the coat was $56.
.
And the equation would therefore be:
X=original cost
X=($60-$14.36)/(0.75*1.08)
X=$45.36/0.81
X=$56
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