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? (4 points)
A. 3 weeks, $100
B. 3 weeks, $285
C. 6 weeks, $150
D. 100 weeks, $3
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.