Alice works part-time after school. On Monday Alice records that she worked three and one-fourth hours. On Tuesday Alice records that she wo

Question

Alice works part-time after school. On Monday Alice records that she worked three and one-fourth hours. On Tuesday Alice records that she works one and three-fourths hours. On Wednesday Alice records that she works two and two-thirds hours. On Friday Alice records that she works for Five and one-half hours. Alice knows that she worked sixteen and one-half hours for five days. Alice forgot to record how many hours she worked on Thursday. How many hours did she work on Thursday? Alice earns seven dollars and fifty cents per hour. Alice needs hundred forty six dollars and twenty five cents to buy a new game player. How many more hours does Alice have to work to have enough money to buy the game player? Show your work.

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Lệ Thu 5 months 2021-08-19T09:28:04+00:00 1 Answers 10 views 0

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    2021-08-19T09:29:37+00:00

    Answer:

    Check explanation

    Step-by-step explanation:

    Monday = 3 1/4 hours

    Tuesday = 1 3/4 hours

    Wednesday = 2 2/3 hours

    Thursday = x hours

    Friday = 5 1/2 hours

    Total hours worked = 16 1/2 hours

    Total hours worked = Monday + Tuesday + Wednesday + Thursday + Friday

    16 1/2 = 3 1/4 + 1 3/4 + 2 2/3 + x + 5 1/2

    33/2 = 13/4 + 7/4 + 8/3 + x + 11/2

    33/2 = 39+21+32+66/12 + x

    33/2 = 158/12 + x

    33/2 – 158/12 = x

    x = 198-158/12

    x = 40/12

    = 3 4/12

    x = 3 1/3 hours

    Earnings per hour = $7.50

    Total earnings = Earnings per hour * Total hours worked

    = 7.50 * 16 1/2

    = 7.50 * 33/2

    = 7.50 * 16.5

    = $123.75

    Amount needed to purchase a game player = $146.25

    Amount needed more =$146.25 – $123.75

    = $22.5

    More hours needed to work = Amount needed more / Earnings per hour

    = $22.5 / $7.50

    = 3 hours

    Therefore,

    Alice needs to work 3 hours more

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