SOLUTION: Stephanie and Jenny are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Stephanie sold 14 roll

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Question 1131799: Stephanie and Jenny are selling wrapping paper for a school fundraiser. Customers can buy rolls
of plain wrapping paper and rolls of holiday wrapping paper. Stephanie sold 14 rolls of plain
wrapping paper and 9 rolls of holiday wrapping paper for a total of $446. Jenny sold 8 rolls of
plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $212. Find the cost
each of one roll of plain wrapping paper and one roll of holiday wrapping paper.
Answer by addingup(3677) About Me  (Show Source):
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Stephanie: 14p + 9h = 446 (1)
Jenny: 8p + 3h = 212 multiply all times -3 and add to equation (1)
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14p + 9h = 446
-24p +-9h = -636
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-10p + 0h = -190
-10p = -190
p = 19 the rolls of plain paper cost 19 each
Now take one of the original equations, any one, and substitute for p to solve for h:
14p + 9h = 446
14(19) + 9h = 446
266 + 9h = 446
h = 20 the rolls of holiday wrapping paper cost 20 each
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Check:
8p + 3h = 212
8(19) + 3(20) = 212 Correct, you now have the correct answers.