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

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