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13 April, 01:17

Jacob has several babysitting jobs. On one job, he earned $10 an hour plus an extra $20 since there were 3 children. On the other job, he earned $15 an hour

He earned the same amount of money at both jobs. How many hours did he work and how many hours did he earn?

Here are the equations

d = 15h

d = 10h+20

A: 2 hours,$40

B:4 hours $60

C: 3 hours $45

D: 5 hours $75

+3
Answers (1)
  1. 13 April, 02:32
    0
    4 hours, $60

    Step-by-step explanation:

    Assuming "d" is equal to the dollars Jacob earned and h = hours, you start by setting the equations equal to each other, since both are equal to "d."

    15h=10h+20

    Subtract 10h from both sides (to combine like terms) so the equation becomes:

    5h=20

    Divide 5 from both sides, to isolate "d":

    h=4

    The number of hours Jacob worked is 4, as the equation above shows. To find the amount of money Jacob made, substitute 4 as "h" into the two original equations:

    d = 15 (4) d=$60

    d=10 (4) + 20 d=$60

    Jacob earned $60 dollars in 4 hours.
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