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:

Question

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? (4 points)

A. 3 weeks, $100

B. 3 weeks, $285

C. 6 weeks, $150

D. 100 weeks, $3

Answer 1

To find out when Jake and Seth will have the same amount of money in their money boxes, we need to set their equations equal to each other:

5x + 85 = 20x + 40

Subtract 5x from both sides:

85 = 15x + 40

Subtract 40 from both sides:

45 = 15x

Divide by 15 on both sides:

x = 3

So, after 3 weeks, Jake and Seth will have the same amount of money in their money boxes.

To find out how much money they will have, plug x = 3 back into either of the original equations:

y = 5(3) + 85
y = 15 + 85
y = 100

Therefore, after 3 weeks, Jake and Seth will both have $100 in their money boxes.

The correct answer is A. 3 weeks, $100.