Last week Jack worked 70 hours and earned $ 1,260. If he earned his regular hourly wage for the first 40 hours worked, 3/2 times his regular

Question

Last week Jack worked 70 hours and earned $ 1,260. If he earned his regular hourly wage for the first 40 hours worked, 3/2 times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage?

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Genesis 16 mins 2021-09-12T06:42:39+00:00 1 Answer 0

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    2021-09-12T06:44:34+00:00

    Answer:

    regular hourly wage is $14 per hour

    Step-by-step explanation:

    Let  x be the regular hourly wage

    he earned his regular hourly wage for the first 40 hours worked

    so its 40x

    3/2 times his regular hourly wage for the next 20 hours worked

    3/2 is 1.5. 1.5x for next 20 hours

    So its 30x

    2 times his regular hourly wage for the remaining 10 hours worked

    2x times 10 is 20x

    Now we add all the wages we got . total earned is 1260

    40x+30x+20x=1260

    90x=1260

    divide both sides by 90

    x= 14

    So regular hourly wage is $14 per hour

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