Bella and Heather 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:

Bella: y = 25x + 60
Heather: y = 30x + 10

After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount? (4 points)

1 answer

To find when Bella and Heather will have the same amount of money in their money boxes, we need to set their equations equal to each other and solve for x:

25x + 60 = 30x + 10
60 = 5x + 10
50 = 5x
x = 10

After 10 weeks, Bella and Heather will have the same amount of money in their money boxes. To find out how much money they will have at that time, we can substitute x = 10 back into either equation:

Bella: y = 25(10) + 60 = 250 + 60 = 310
Heather: y = 30(10) + 10 = 300 + 10 = 310

Therefore, after 10 weeks, Bella and Heather will have $310 in their money boxes.