SOLUTION: In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each tie.

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Question 732758: In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each tie.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each tie.
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Equations:
6s + 3t = 79.50
3s + 2t = 41
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Modify:
18s + 9t = 3*79.5
18s + 12t= 6*41
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Subtract and solve for "t":
3t = 7.5
t = $2.50 (price of one tie)
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Solve for "s":
3s + 2t = 41
3s + 5 = 41
3s = 36
s = $12.00 (price of one shirt)
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Cheers,
Stan H.