SOLUTION: One day a store sold 17 sweatshirts. White ones cost $9.95 and yellow ones cost $13.50. In all, 211.75 worth of sweatshirts were sold. How many of each color were sold

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Question 932133: One day a store sold 17 sweatshirts. White ones cost $9.95 and yellow ones cost $13.50.
In all, 211.75 worth of sweatshirts were sold. How many of each color were sold

Found 2 solutions by ewatrrr, Stitch:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x the number of yellow
$13.50x + $9.95(17-x) = $211.75
x = (211.75-17•9.95)/3.55 = 12 the number of yellow. White: 5 17-12
And...checking
12•$13.50 + 5•$9.95 = 211.75
Will Leave the checking calculation to You.

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Let W = number of White shirts
Let Y = number of Yellow shirts
Since we have two variables, we need two equations.
Equation 1: W+%2B+Y+=+17
Equation 2: 9.95W+%2B+13.5Y+=+211.75
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Start by solving equation 1 for one of the variables
Equation 1: W+%2B+Y+=+17
W+=+17+-+Y
Plug (17-Y) into equation 2 for W
Equation 2: 9.95W+%2B+13.5Y+=+211.75
9.95%2A%2817-Y%29+%2B+13.5Y+=+211.75
Simplify
169.15+-+9.95Y+%2B+13.5Y+=+211.75
Combine like terms
169.15+%2B+3.55Y+=+211.75
Subtract 169.15 from both sides
3.55Y+=+42.6
Divide both sides by 3.55
highlight%28Y+=+12%29
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Using Y=12, solve for W
W+=+17+-+Y
W+=+17+-+12
highlight_green%28W+=+5%29