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10 August, 03:33

She worked a total of 15 hours. If she makes $15 per hour tutoring and $9 per hour at the grocery store and made a total of $159 how many hours did she work at the grocery store

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  1. 10 August, 04:01
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    11 hours she worked at the grocery store

    Step-by-step explanation:

    assuming,

    the number of hours worked at tutoring = x

    the number of hours worked at grocery store = y

    which means,

    the amount she made at tutoring = x * $15

    the amount she made at grocery store = y*$9

    we have 2 equations

    total number of hours

    1) x+y = 15

    total amount she earned

    2) x * $15 + y * $9 = $159

    From equation 1

    x+y = 15

    x=15-y

    we replace this x value in equation 2

    x * $15 + y * $9 = $159

    (15-y) * $15 + y * $9 = $159

    (15*15) - 15y+9y=159

    225-6y=159

    225-159=6y

    66=6y

    66/6=y

    11=y the number of hours she worked at grocery store.

    we place y=11 in our derived x equation

    x=15-y

    x=15-11

    x=4 the number of hours she worked at tutoring.
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