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

Question

Mathematics

Rodolfo Walter

14 July, 07:32

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

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Answers (1)

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Karter Gross · 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