Mathematics

Question

Jacob has serveral babysitting jobs. On one job he earnefd $10 an hour plus an extra $20 since there where 3 children. On another job, he earned $15 an hour. He earned the same amount of money at both jobs. How many hours did he work and how much did he earn?

2 Answer

  • Answer:

    Jacob worked 4 hours and earned $60

    Step-by-step explanation:

    Let

    y ----> the amount earned

    x ----> the number of hours

    First job

    The linear equation is equal to

    y=10x+20 ----> equation A

    Second job

    The linear equation is equal to

    y=15x -----> equation B

    we know that

    He earned the same amount of money at both jobs

    To find the number of hours he worked math equation A and equation B

    10x+20=15x

    solve for x

    15x-10x=20

    5x=20

    x=4 hours

    so

    For x=4 hours

    y=10x+20 -------> y=10(4)+20=$60

    y=15x -------------> y=15(4)=$60

    For x=4 hours

    The amount earned is the same in both works

  • Answer:

    4 hours, $60

    Step-by-step explanation:

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