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 if money in their money boxes, and what is that amount?
To find out when Bella and Heather will have the same amount of money in their money boxes, we need to set their two equations equal to each other and solve for x:
25x + 60 = 30x + 10
60 - 10 = 30x - 25x
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 plug x back into either of the original equations:
y = 25(10) + 60
y = 250 + 60
y = 310
Therefore, after 10 weeks, Bella and Heather will each have $310 in their money boxes.