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13 May, 14:25

Shea's mother wanted to get him a doctor's bag for a graduation present. she thought it would cost $125, but the actual cost was $95.99. what is the percent error between her estimate and the actual cost

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  1. 13 May, 16:42
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    100% = 95.99

    What about 1%? We need to form an equation

    100 = 95.99

    1 = x

    Cross multiplying this equation we get

    100 * x = 95.99 * 1

    100 x = 95.99

    x = 95.99/100

    x = 0.96

    Now then,

    1% = 0.96 dollars

    x % = 125 dollars

    Cross multiplying, we get:

    0.96x = 125

    so

    x = 125 / 0.96

    x = 130. 2 %

    130.2% - 100% = 30.2 %

    Therefore her percentage error is 30.2 % above the actual cost.
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