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A small factory that produces only upholstered chairs and so

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by sanjib » Mon Aug 03, 2009 11:05 pm
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.
OA is B
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Source: — Data Sufficiency |
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by Gmat09_5ALL » Tue Aug 04, 2009 12:55 am
Ans - B

1C +4S = 300 - a

1 ) doesn't give any information about C and S
2) C + S = 150 - b

2 is sufficient to find S by solving a and b
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by shahdevine » Tue Aug 04, 2009 6:18 am
Gmat09_5ALL wrote:Ans - B

1C +4S = 300 - a

1 ) doesn't give any information about C and S
2) C + S = 150 - b

2 is sufficient to find S by solving a and b
where are you getting the "-a" and "-b" from, at end of 1c+4s=300 -a and C+s=150 -b

thx,

sd
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by mohitsharda » Tue Aug 04, 2009 9:30 am
The -a and -b are to refer to the equations that have been made... naming the equation so that they dont have to written again
MS
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by batman73 » Wed Aug 05, 2009 6:54 am
The word problem gives us the ratio:

1C:4S

so we can write this as: x+4x=Total

If we are given the total amount of cushions, then we can solve for the equation


(1) Last week the factory produced more chairs than sofas.
This gives us no useful information



(2) Last week the factory produced a total of 150 chairs and sofas.
x+4x=150
5x=150
x=30

B IS SUFFICIENT
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