Question

If the price of 3 pens ,2 pencils , and 4 eraser is Rs 92 and the price of 8 pencils and 16 erasers is Rs 68 then the price of 24 pens is ?

Answer 1

Let x be the price per pen, y be price per pencil and z be price per eraser. Variables can be written as follow:

3x+2y+4z=Rs92 (1)

8y+16z=Rs68 (2)

2y+4z=Rs17 (3)

Subs. (3) into (1):

3x+Rs17=Rs92

3x=Rs75

x=Rs25

Price for 24 pens = Rs25*24=Rs600

Sorry for that, I went for the conclusion prematurely. Yes you can solve it.

Answer 2

let the cost of 1 pen be p₁ 1 pencil be p₂ and 1 eraser be e
3p₁+2p₂+4e =92
4(2p₂+4e)=4(92-3p₁)
8p₂+16e=368-12p₁...............(1)
given 8p₂+16e =68...............(2)
equating(1)and (2)
368-12p₁=68
p₁=25
24p₁=600