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A student used a 30% off coupon to buy a jacket. There was no tax. The student paid $67.34. What was the original price of the jacket? The answer options are: $28.86, $87.54, $96.20, and $97.20. Please show how you got the answer.

Sagot :

jiminparkarmy4

Step-by-step explanation:

the solution is in the picture

View image jiminparkarmy4

Solution:

We know the following:

  • A student used a 30% coupon on a jacket
  • The cost was $67.34 after the coupon was used.

Thus, the equation created:

  • 67.34 + 30(Original price)/100 = Original price

Let's represent the original price as x. Then:

  • 67.34 + 30(x)/100 = x

Subtract 30x/100 both sides.

  • 67.34 + 30(x)/100 - 30(x)/100 = x - 30x/100
  • => 67.34 = x - 30x/100

Change x to 100x/100.

  • => 67.34 = 100x/100 - 30x/100

Simplify the RHS:

  • => 67.34 = 70x/100

Use cross multiplication.

  • => 6734 = 70x

Divide 70 both sides.

  • => x = 6734/70 = $96.2 (Original price)
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