Question 1064957: Mike took clothes to the cleaners three times last month. First,he brought 4 shirts and 2 pairs of slacks and paid $17.94. Then he brought 7 shirts, 2 pairs of slacks, and 2 sports coats and paid $40.39. Finally, he brought 3 shirts and 1 sports coat and paid $14.96. How much was he charged for each shirt, each pair of slacks, and each sports coat?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! 4SH+2S=17.94
7SH+2S+2SC=40.39
3SH+1SC=14.96
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7SH+2S+2SC=40.39
-4SH-2S=-17.94, multiplying by -1 to eliminate S.
3SH+2SC=22.45
-3SH-1SC=-14.96, multiplying the third by -1 to eliminate SH
1SC=$7.49
Therefore, 3SH=14.96-7.49=7.47
1SH=$2.49
4(2.49)+2S=17.94; 9.96+2S=17.94; 2S=7.98
1S=$3.99
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shirts are $2.49 each
slacks are $3.99 each
sport coats are $7.49 each
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Check with the second
7(2.49)+2(3.99)+2(7.49)=17.43+7.98+14.98=$40.39 checks
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