Question

Over the summer, Paulo opens a dog-washing business and begins with $32. The table shows how much he earns and spends each week.

Weekly Revenue and Expenses
Revenue Expense
Sales $124
Supplies $8

He works for 8 weeks washing dogs. When he starts back at school, he budgets $60 to spend each week. How many weeks pass before he needs to wash more dogs?

Answer 1

Using the information given in the table, the number of weeks that would pass before more dogs would have to be washed is 16 weeks.

Given the Parameters :

Initial start up = $32

Number of weeks worked = 8

Recall :

Profit = Revenue - Expenses

Profit made per week = $124 - $8 = $116

Total amount of profit made :

Profit made per week × Number of weeks

. Total profit made = $116 × 8 = $928

Total amount owned = Total profit made + Initial start up

Total amount owned = $928 + $32 = $960

Number of weeks before total amount owned is expended can be calculated thus :

Total amount owned ÷ spending per week

Number of weeks = ($960 ÷ $60) = 16

Hence, 16 weeks will pass before more dogs would have to be washed.