Question

Jake and Seth put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Jake: y = 5x 85 Seth: y = 20x 40 After how many weeks will Jake and Seth have the same amount of money in their money boxes and what will that amount be? 3 weeks, $100 3 weeks, $285 6 weeks, $150 100 weeks, $3

Answer 1

1)  How many weeks will Jake and Seth be equal? set the equations equal to each other and solve for x:

5x + 85 = 20x + 40

45 = 15x

x = 3 weeks

2)  How much money will that be? plug x = 3 back into the equation to solve for y:

Jake:  5(3) + 85 = $100
Seth:  20(3) + 40 = $100

answer is $100