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29 September, 00:05

Sherry bought a sport utility vehicle. She received a discount of 18% off the manufacturer's list price but then had to pay 8% state sales tax. If she paid $17,712 for the car after the discount and tax were applied, how much was the manufacturer's list price?

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  1. 29 September, 00:32
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    x = $20,000

    the manufacturer's list price is $20,000

    Step-by-step explanation:

    Let x represent the manufacturer's list price.

    And c the amount she finally paid

    Given that;

    She received a discount of 18% off the manufacturer's list price

    = x - 18%x

    = x - 0.18x

    = 0.82x

    then had to pay 8% state sales tax.

    C = (0.82x) + 8% of (0.82x)

    C = 0.82x + 0.08 (0.82x)

    C = 0.82x + 0.0656x

    C = 0.8856x

    Since she paid $17,712

    C = $17,712

    C = $17,712 = 0.8856x

    0.8856x = $17,712

    x = $17,712/0.8856

    x = $20,000

    the manufacturer's list price is $20,000
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