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28 November, 10:08

A running store offers a 15% discount on

buying 2 pairs of running shoes. Jane buys two

pair of shoes that each cost the same and paid a

total bill of $110.50, after the discount. What

was the cost of each pair of shoes before the

discount?

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Answers (1)
  1. 28 November, 10:15
    0
    The cost of each pair of shoes before the discount=$67.65

    Step-by-step explanation:

    Step 1

    Use the expression below to determine original cost of the 2 pairs of shoes as follows;

    A=O-R

    where;

    A=total bill after discount

    O=original cost of 2 pairs of shoe

    R=discount amount

    In our case;

    A=$110.50

    O=unknown=x

    R=15% of O = (15/100) * x=0.15 x

    replacing;

    115=x-0.15 x

    115=0.85 x

    x=115/0.85

    x=135.294

    Original cost of the 2 pairs of shoes=$135.294

    Original cost of a pair of shoes=135.294/2=$67.65

    The cost of each pair of shoes before the discount=$67.65
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