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

Question

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

pumpkin1102 · Answer

Is it B

anonymous · Answer

@Pumpkin1102 It is the last one. D.

phi · Answer

you can solve this by setting the two equations equal to each other
25x + 60 =30x + 10

or you can use elimination.  multiply the -1 to get
-y = -25x + -60
and add to the 2nd equation
y=    30x + 10
you get

-y+y=  -25x + 30 x + -60 + 10

-y+y is 0
30x -25 x is 5x
-60 + 10 is -50
0 = 5x - 50

add 50 to both sides to get
50  = 5x
x = 50/5 = 10

phi · Answer

they tell you
**certain amount of time (x), in weeks,***
so x is 10 weeks

phi · Answer

The amount of money (y), in dollars

you need to find y, when x is 10
you can use either equation

anonymous · Answer

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anonymous · Answer

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pumpkin1102 · Answer

thx @phi