SOLUTION: a restaurant purchased 8 tablecloth and five napkins foe $106. A week later, a tablecloth and six napkins were bought for $24. Find the cost of one tablecloth and he cost of one n
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Question 607286: a restaurant purchased 8 tablecloth and five napkins foe $106. A week later, a tablecloth and six napkins were bought for $24. Find the cost of one tablecloth and he cost of one napkin, assuming the same prices for both purchases. Found 2 solutions by alicealc, nerdybill:Answer by alicealc(293) (Show Source):
You can put this solution on YOUR website! a restaurant purchased 8 tablecloth and five napkins foe $106. A week later, a tablecloth and six napkins were bought for $24. Find the cost of one tablecloth and he cost of one napkin, assuming the same prices for both purchases.
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Let t = cost of one tablecloth
and n = cost of one napkin
then
8t + 5n = 106
t + 6n = 24
.
multiply bottom equation by -8 and combine both equations:
8t + 5n = 106
-8t - 48n =-192
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- 43n = -86
n = $2 (cost of a napkin)
.
Cost of tablecloth:
t + 6n = 24
t + 6(2) = 24
t + 12 = 24
t = $12
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