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A small factory that produces only upholstered chairs and

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A small factory that produces only upholstered chairs and [#permalink]

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01 Aug 2007, 17:49
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21. A small factory that produces only upholstered chairs and sofas uses 1 cushion for each chair and 4 cushions for each sofa. If the factory used a total of 300 cushions on the furniture it produced .last week, how many sofas did it produce last week ?

(1) Last week the factory produced more chairs than sofas.
(2) Last week the factory produced a total of 150 chairs and sofas.

pls explain. I thought the ans was E. but OA is B
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01 Aug 2007, 18:05

C+4S = 300
C+ S = 150
Solving the equations gives 100 chairs and 50 sofas.
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01 Aug 2007, 18:46
Stmt 2 is sufficient.

Let c = # of chairs.
# of sofas is 150 - c.
(150-c)*4+c*1=300
600-4c+c=300
600-300=3c
100=c

100 chairs, 50 sofas
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