Question

Bella and Heather put some money in 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. After how many weeks will Bella and Heather will have the same amount of money in their money boxes , and what is that amount?

Answer 1

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.