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bbb732k6

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Oct 5, 2011
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need this put into equation form

Sue Ellen and Angela have both saved $51 for theirfamily trip to the coast. They each put money in their piggy bank onthe same day but Sue Ellen started with $7 more than Angela. Fromthere on Sue Ellen added $1 to her piggy bank each week and Angelaput $2 in her piggy bank each week. How much money did Sue Ellen putin her piggy bank when they started?
 
I came up with 1(the difference between what SE and A put in their banks weekly) * x (SE's original sum) + 7 (the total difference of their sums when they started out):

1x+7=51
x+7=51
x+44

but do not know if the reasoning makes sense.
 
Okay, let the amount that Ellen started with be x.

The amount that Angela starts with will be (x-7) right?

Then, after some weeks, say... y number of weeks, they each reached a total of 51.

In that time, Ellen put $y in all ($1 each week and there are y weeks)
Angela put $2y in all.

So... Total is:

(x + y) = Ellen's contribution
[(x-7) + 2y] = Angela's contribution

Both being 51. Can you solve them now? :)
 
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