Question

the cost of 1 pencil,2 pens,4 copies is 24, while the cost of 4 pencil,3 pen,1 copies is 18 .how much will be 3 pencil,3pen,3copies ?​

Answer 1

Answer:

25.2

Step-by-step explanation:

let

cost of 1 pencil = x

cost of 1 pen = y

cost of 1 copy = z

given cost of one pencil,

2 pens and 4 copies is 24

i.e.; x+2y+4z = 24 ------(1)

and cost of 4 pencils, 3 pens and 1 copy is 18

i.e.; 4x+3y+z = 18 ------(2)

add both (1) and (2)

we get

5x+5y+5z = 42

5(x+y+z) = 42

x+y+z = 42/5 -----(3)

we need cost of 3 pencils, 3 pens and 3 copies

that is

3x+3y+3z = 3(x+y+z)

from eq (3)

cost of 3 pencils, 3 pens and 3 copies is 3×42/5 = 25.2