Question

The cost of one pencil, two pens and four erasers is Rs.22 while the cost of ve pencils, four pens and two erasers is Rs.32. How
much will three pencils, three pens and three erasers cost?
(a) 23
(b) 13/3
(c) 27
(d) 29
a
b
с​

Answer 1

Answer:

Let X be no.of pencils

Let Y be no.of pens

Let Z be no.of erasers

Given

X+2Y+4Z=22

5X+4Y+2Z=32

The cost of 3 pencils, 3 pens and 3 erasers is

(X+2Y+4Z)+(5X+4Y+2Z) =22+32

6X+6Y+6Z=54

2(3X+3Y+3Z)=54

3X+3Y+3Z=(54/2)

3X+3Y+3Z=27

So the required answer is 27 !!

Answer 2

Solution :

Let the cost of 1 pencil 1 pen and 1 eraser by Rs x, y, and z respectively

then,

x + 2y + 4z = 22 .........(i)

5x + 4y + 2z = 32 .......(ii)

adding (I) and (II) we get

6(x + y + z) = 54 or x + y + z = 9

cost of 3 pencil 3 pen and 3 eraser

=> 3(x + y + z)

=> Rs (3 x 9)

=> Rs 27

=> option (c) 27 is a right answer