## During the summer, you work 30 hours per week at a gas station and earn \$8.75 per hour. You also work as a landscaper for \$11 per

Question

During the summer, you work 30 hours per week at a gas station and earn \$8.75 per hour. You also work as a landscaper for \$11 per hour and can work as many hours as you want. You want to earn a total of \$400 per week. How many hours, \$t\$ , must you work as a landscaper?

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8 mins 2023-01-13T07:50:53+00:00 1 Answer 0 views 0

1. The number of hours to work as a landscaper is 12.5 hours.
Given,
you work 30 hours per week at a gas station and earn \$8.75 per hour.
You also work as a landscaper for \$11 per hour and can work as many hours as you want.
You want to earn a total of \$400 per week.
We need to find how many hours to work in landscraper to earn \$400 a week.
We have,
At the gas station:
\$8.75 = 1 hour
Find the dollars in 30 hours:
\$8.75 = 1 hour
Multiply 30 on both sides
30 x \$8.75 = 30 x 1 hour
\$262.5 = 30 hours
At landscaping:
1 hour = \$11
We need to have \$400 a week.
We already have \$262.5 earned from the gas station so we need to earn the remaining dollars from the landscaper.
Find the remaining dollars:
= \$400 – \$262.5
= \$137.5
Find the number of hours worked as a landscaper:
We have,
1 hour = \$11
Multiplying 137.5/11 on both sides
137.5/11 x 1 hour = 137.5/11 x \$11
12.5 hours = \$137.5
We see that to earn \$137.5 he needs to work in the landscraper for 12.5 hours.
We can also crosscheck:
30 x \$8.75 + 12.5 x \$11
\$262.5 + \$137.5
\$400
Thus the number of hours to work as a landscaper is 12.5 hours.