Question 114174: Sue has $75 to spend on shirts and shorts. The shirts are on sale for $10 each, including tax, and the shorts are on sale for $15 each, including tax. List all the number combinations of shirts and shorts Sue can buy to spend exactly $75. Use mathematics to justify your answer.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Sue has $75 to spend on shirts and shorts. The shirts are on sale for $10 each, including tax, and the shorts are on sale for $15 each, including tax. List all the number combinations of shirts and shorts Sue can buy to spend exactly $75. Use mathematics to justify your answer.
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Let "x" be # of shirts; Let "y" be # of shorts.
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Value Equation:
10x +15y = 75
2x + 3y = 15
y = (-2/3)x + 5
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If x = 0, y = 5
If x = 3, y = 3
If x = 6, y = 1
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Cheers,
Stan H.
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