Question

You have two summer jobs. In the first job. you work 15 hours per week and earn $5.80 per hour. In the second job, you earn $6.50 per hour and can work as many hours as you want. You want to earn $230 per week. How many hours must you work at the second job?

Answer 1

The given situation can be written algebraicaly as follow:

In the first job, you earn 15·5.80 = 87 dollars at week. In the second job, if x is the number of hours you work at the week, then, 6.50x is the money you earn at week. Due to you want to earn 230 dollars per week, you have:

87 + 6.50x = 230

solve the previous equation as follow:

87 + 6.50x = 230 subtract 87 both sides

6.50x = 230 - 87

6.50x = 143 divide by 6.50

x = 143/6.50

x = 22

Hence, you would have to work 22 hours to reach the $230 per week