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.
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