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?
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 hourFind the dollars in 30 hours:$8.75 = 1 hourMultiply 30 on both sides30 x $8.75 = 30 x 1 hour$262.5 = 30 hoursAt landscaping:1 hour = $11We 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= $137.5Find the number of hours worked as a landscaper:We have,1 hour = $11Multiplying 137.5/11 on both sides137.5/11 x 1 hour = 137.5/11 x $1112.5 hours = $137.5We 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$400Thus the number of hours to work as a landscaper is 12.5 hours.Learn more about finding the number of hours to work to get a fixed amount here:https://brainly.com/question/15005934#SPJ1