Question

John buys 2 chairs and 2 tables in a shop and in total they cost £18. Stella buys 3 chairs and 2 tables in the same shop and they cost £22. Form two equations and solve to find the cost of each chair and each table.

Answer 1

Answer:

let chair be x and

table be y

john=(2x+2y)=18

stella=(3x+2y)=22

by elimination method

2x+2y=18

3x+2y=22

(-) (-) (-)

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

-1x = -4

x= -4/-1

x=4

====

•°•cost of a chair= ₹4

cist of table y =

2x+2y=18

2×4+2y=18

8+2y=18

+2y=18-8

+2y=10

y=10/2

y=5

======

•°•cost of table= ₹5

verification

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

3x+2y=22

3×4+2×5=22

12+10=22

22=22

========

•°•cost of chair x= ₹4

cost of table y= ₹5

I HOPE IT HELPS YOU.