SOLUTION: Mrs. Jones is celebrating Gauss's birthday by having a pizza party for her two algebra classes. She orders 3 pizzas and 3 bottles of soda for $23.34 for her second period class and
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: Mrs. Jones is celebrating Gauss's birthday by having a pizza party for her two algebra classes. She orders 3 pizzas and 3 bottles of soda for $23.34 for her second period class and 4 pizzas and 6 bottles of soda for $32.70 for her 7th period class. How much does each pizza and each bottle of soda cost?
This question is from textbook
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
She orders 3 pizzas and 3 bottles of soda for $23.34 for her second period class and 4 pizzas and 6 bottles of soda for $32.70 for her 7th period class. How much does each pizza and each bottle of soda cost?
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Equation:
3p + 3s = 2334 cents
4p + 6s = 3270 cents
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Multiply thru the 1st equation by 2 to set up for elimination:
6p + 6s = 4668
4p + 6s = 3270
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Subtract the 2nd from the 1st to solve for "p":
2p = 1398
p = 699 cents or $6.99 (price of a pizza)
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Substitute to solve for "s":
3*699 + 3s = 2334
p = 79 cents (price of a soda)
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Cheers,
Stan H.
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