The question is incomplete:
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?
10 weeks, $10
10 weeks, $310
9 weeks, $310
310 weeks, $10
Answer:
10 weeks, $310
Step-by-step explanation:
As the statement indicates, you have the following equations:
y=25x+60
y=30x+10
where:
y= the amount of money
x= the amount of time in weeks
You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:
25x+60=30x+10
60-10=30x-25x
50=5x
x=50/5= 10
After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:
-y=25(10)+60=310
-y=30(10)+10= 310
According to this, the answer is 10 weeks, $310.
