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Mnenie [13.5K]
2 years ago
7

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 j

acket? The answer options are: $28.86, $87.54, $96.20, and $97.20. Please show how you got the answer.
Mathematics
2 answers:
frozen [14]2 years ago
7 0

Solution:

<u>We know the following:</u>

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

<u>Thus, the equation created:</u>

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

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

  • 67.34 + 30(x)/100 = x

<u>Subtract 30x/100 both sides.</u>

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

<u>Change x to 100x/100.</u>

  • => 67.34 = 100x/100 - 30x/100

<u>Simplify the RHS:</u>

  • => 67.34 = 70x/100

<u>Use cross multiplication.</u>

  • => 6734 = 70x

<u>Divide 70 both sides.</u>

  • => x = 6734/70 = $96.2 (Original price)
PSYCHO15rus [73]2 years ago
6 0

Step-by-step explanation:

the solution is in the picture

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