Question

Philip and Kevin are hoping to earn enough money to buy concert tickets for a show that costs $225 her concert tickets. Philip and Kevin have taken on jobs so they can each earn at least enough money to purchase the tickets?

Philip has a job doing yard work for 6 hours each weekend earning $8.75 for each full hour he works. Philip has already saved $45.
Kevin has a part-time job at a local store working 3 hours per day for 3 days a week. Kevin earns $7.50 per hour.He currently has $30 saved.
Philip and Kevin are disagreeing about who is going to be able to have enough money for the concert the fastest. They also need to decide what is the minimum number of weeks each of them must work to get enough money for the concert tickets.
help Philip and Kevin with their disagreement. be sure to show all of your mathematical thinking to help Philip and Kevin answer their question.
and make sure to do at least two equations for this question or two ways to solve the question?

Answer 1

Kevin will earn the money before than Philip

Philip needs at least 4 weeks

Kevin needs at least 3 weeks

Explanation:

Let's call x to the number of weeks

Philip works 6 hours each weekend, which means 6 hours per week, earning $8.75 per hour, which is equivalent to 6*8.75 = $52.5 per week

Philip has already saved $45. Then he needs the next number of weeks:

52.5*x + 45 = 225

x = (225 - 45)/52.5

x = 3.4

Philip needs at least 4 weeks

Kevin works 3 hours per day for 3 days a week, which means 9 hours per week, earning $7.5 per hour, which is equivalent to 9*7.5 = $67.5 per week

Kevin has already saved $30. Then he needs the next number of weeks:

67.5*x + 30 = 225

x = (225 - 30)/67.5

x = 2.9

Kevin needs at least 3 weeks