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13 September, 19:30

Income Vincent earns $15 per hour during the week and $18 per hour for overtime

on the weekends. One week he earned $252. He worked 3 times as many hours

during the week as he did on the weekend. Write and solve a system of equations to

determine how many hours of overtime he worked on the weekend and how many

hours we worked during the week.

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Answers (1)
  1. 13 September, 19:59
    0
    Step-by-step explanation:

    1) let's say X will be next to our 15 dollars and y next to 18 dollars

    so

    15x + 18y = 252

    it also tells us that the weekdays is 3 times as many hours as y. In other words:

    x = 3y

    2) As the question asks for the number of weekend hours, let's solve for y.

    Here, it's easier to just substitute x in the original equation. If you put 3y as a replacement of x, the equation becomes:

    (15*3y) + 18y = 252

    expand to:

    45y + 18y = 252

    add on

    63y = 252

    divide both by 13

    y=4

    Therefore Vincent works 4 hours on the weekend so during the weeks he works 20 hours
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