Chidinho
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.
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!!!!