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? Answers 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.