# 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?

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## 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?

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

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

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