Question

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

Answer 1

4 hours, $60

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.