A small factory that produces only upholstered chairs and sofas uses 1

Question

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.

DS20349

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

ID: 700117
DS20349

EgmatQuantExpert · Answer

Solution

Given:  
 • A small factory that produces only upholstered chairs and sofas uses 1 cushion for each chair and 4 cushions for each sofa
• The factory used a total of 300 cushions on the furniture it produced last week

To find:  
 • The number of sofas produced last week

Analysing Statement 1  
 • As per the information given in statement 1, last week the factory produced more chairs than sofas
 o From this, we cannot conclude any specific number of chairs or sofas produced last week

Hence, statement 1 is not sufficient to answer

Analysing Statement 2  
 • As per the information given in statement 2, last week the factory produced a total of 150 chairs and sofas
• If we assume that C chairs and S sofas were produced last week, then we can write:
 o C + S = 150
o C + 4S = 300 
• Solving these 2 equations, we can find out the value of C and S

Hence, statement 2 is sufficient to answer

Hence, the correct answer is option B.

Answer: B

Chidinho · Answer

Hi  Bunuel ,  VeritasKarishma  -

I got confused by the interpretation of this question. 
Why is the total interpreted as " c + 4s " and not " c+4c. " 
My confusion stems from the part the that reads ".... uses 1 cushion for each chair and 4 cushions for each sofa".
Please assist in clarifying.

Siak0730 · Answer

QUESTION:
 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.

INTERPRETATION:
1. A small factory produces only chairs and sofas = (C= chairs; S= sofas)
2. Factory uses 1 cushion for each chair = (1 C= 1 cushion)
3. Factory uses 4 cushions for each sofa = (1 S = 4 cushion)
4. Total Cushions for furniture = 300
=>  C*1 + 4*S = 300 
or  C+4S = 300

5. HOW MANY SOFAS?? (S=??)

STATEMENT 1: Last week the factory produced more chairs than sofas.
lets see what does this statement give us?
C > S
Max number of C= ??
(Always remember that Min of one function will give max of other; in case we have two function/variables)
LET S=1
So, 4S= 4
C= 300-4S= 296.
But then, C and S both can Vary

Per statement I, Min C= ?? such that C>S
How about we try C=S
in this case we get 
S+4S =300
or S=C=60

Since, C>S
Therefore, S<60
SAY S=59, SO, C= 64

Note that, "C" CAN TAKE ANY VALUE FROM 64 TO 296
& "S" CAN TAKE ANY VALUE FROM 1 TO 59

Therefore, STATEMENT 1 is NOT SUFFICIENT

STATEMENT 2: Last week the factory produced a total of 150 chairs and sofas.
This implies

C+S=150

from question we have
C+4S=300

using 2 equation above we can get
S=50
C=100

Therefore, STATEMENT 2 is SUFFICIENT

Hence, B

DROP KUDOS, IF THIS HELPS!!!!

KarishmaB · Answer

Chidinho

c is not the number of cushions. 
c is the number of chairs. s is the number of sofas.

If we have c chairs, how many cushions do we have? c cushions (1 cushion per chair)
If we have s sofas, how many cushion do we have? 4s cushions (4 cushions per sofa)

So total number of cushions = c + 4s

Basshead · Answer

c + 4s = 300

(1) We can get different values; INSUFFICIENT.

(2) This statements tells us that c + s = 150 chairs and sofas

This means 300 cushions were used for 150 chairs and sofas.

s = 50

SUFFICIENT.

Answer is B.

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A small factory that produces only upholstered chairs and sofas uses 1

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