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20 August, 03:51

Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.00 per hour. How many hours did she work at each job the week that she made $146.70? (Round to two decimal places if necessary.)

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  1. 20 August, 07:31
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    Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.

    Step-by-step explanation:

    1. Let's review all the information given for solving this question:

    Rate per hour of Job A = US$ 5.70

    Rate per hour of Job B = US$ 7.00

    Earnings received by Kathy during the week = US$ 146.70

    Total time worked by Kathy during the week = 23 hours

    Hours at job A = x

    Hours at job B = 23 - x

    2. Let's find how many hours Katy worked at each job:

    This is the equation that we'll use:

    5.70x + 7 (23 - x) = 146.70

    5.70x + 161 - 7x = 146.70

    - 1.3x = 146.70 - 161 (Subtracting 161 at both sides)

    -1.3x = - 14.30

    1.3x = 14.3 (Multiplying by - 1 at both sides)

    x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)

    Kathy worked 11 hours at job A and 12 hours at job B.

    3. Proof of x = 11

    5.70 x + 7 (23 - x) = 146.70

    5.70 (11) + 7 (23 - 11) = 146.70

    62.70 + 7 (12) = 146.70

    62.70 + 84 = 146.70

    146.70 = 146.70

    The value of x = 11 is correct.

    Note. I provided the same answer to question 13954115.
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