SOLUTION: Total sales at a restaurantA were $475,000 more than at Restaurant B. total sales at the two stores were $550,ooo,ooo. What were the sales for the year at each store?

Algebra ->  Human-and-algebraic-language -> SOLUTION: Total sales at a restaurantA were $475,000 more than at Restaurant B. total sales at the two stores were $550,ooo,ooo. What were the sales for the year at each store?      Log On


   



Question 903134: Total sales at a restaurantA were $475,000 more than at Restaurant B. total sales at the two stores were $550,ooo,ooo. What were the sales for the year at each store?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
You have two unknowns so you need two equations.
Equation 1: A+=+B+%2B+475000
Equation 2: A+%2B+B+=+550000000
Note that equation one is already solved for A
Plug (B + 475000) into equation 2 for A
Equation 2: A+%2B+B+=+550000000
%28B+%2B+475000%29+%2B+B+=+550000000
Combine like terms
2B+%2B+475000+=+550000000
Subtract 475000 from both sides.
2B+=+549525000
Divide both sides by 2.
highlight%28B+=+274762500%29
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Now plug 274,762,500 into equation 1 for B
Equation 1: A+=+B+%2B+475000
A+=+%28274762500%29+%2B+475000
highlight_green%28A+=+275237500%29
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Store A had $275,237,500 in sales
Store B had $274,762,500 in sales