SOLUTION: Andre sells furniture. Two different chairs go with a dining set, a chair with arms or a chair without. One armchair and one chair without arms sell together for $184. One day he s

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Question 72058: Andre sells furniture. Two different chairs go with a dining set, a chair with arms or a chair without. One armchair and one chair without arms sell together for $184. One day he sold 5 armchairs and 17 chairs without arms for a total of $1868. How much does each chair sell for?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One armchair and one chair without arms sell together for $184. One day he sold 5 armchairs and 17 chairs without arms for a total of $1868. How much does each chair sell for?
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Let "a" be the price of an armchair; Let "c" be the price of a chair.
EQUATIONS:
a+c=184
5a+17c=1868
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a = 184-c
Substitute that into the 2nd equation to solve for "c":
5(184-c)+17c=1868
920-5c+17c = 1868
12c = 948
c=$79 (price of a chair)
Substitute into a=184-c to solve for "a"
a=184-79 = $105 (price of an armchair)
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Cheers,
Stan H.
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