Question

During the summer, Owen works at the local Park District. He earns $10 per hour working as a lifeguard and $8 per hour at the concession stand. Owen can work 30 hours per week and he wants to earn $250 each week. Write the system of equations to determine how many hours at each job Owen needs to work to meet his goal.

Answer 1

Owen needs to work 5 hours as a lifeguard and 25 hours at the concession stand.

Explanation:

With the information provided, you can write the following equations:

x+y=30 (1)

10x+8y=250 (2), where:

x is the number of hours owen works as a lifeguard

y is the number of hours owen works at the concession stand

First, you can solve for x in (1):

x=30-y (3)

Then, you have to replace (3) in (2) and solve for y:

10(30-y)+8y=250

300-10y+8y=250

300-250=10y-8y

50=2y

y=50/2

y=25

Finally, you can replace the value of y in (3) to find x:

x=30-25

x=5

According to this, the answer is that Owen needs to work 5 hours as a lifeguard and 25 hours at the concession stand.