Question

Write your question here (Keep it simple and clear to get the best answer) 1 pencil and 2 erasers cost 14p. 2 pencils and 3 erasers cost 24p. how much does each pencil and eraser cost

Answer 1

Answer:

pencil 6

eraser 4

Step-by-step explanation:

lets cost of pencil is x

cost of eraser is y

simultanious eqn

Eqn I is 1 pencil and 2 eraser =14

ie x + 2y = 14

and

Eqn II is

2 pencil and 3 eraser =24

2x + 3 y= 24

multiplying eqn I by 2 both sides

ie 2x +4y = 28 ----------eqn III

Substracting Eqn II From Eqn III

2x +4y = 28

- 2x + 3 y= 24

---------------------

0+y = 4

putting value of y =4 in eqn I

x + 2y = 14

x+2x4 =14

x+8=14

x= 14-8=6

x=6

cost of pencil is x=6

cost of eraser is y=4