Question

a shopper purchased 4 tables and 2 chair for 200 and 2 tables and 7 chairs for 400 what is the cost of each table and each chair

Answer 1

x=cost of table
y=cost of chair
4x+2y =200
2x+7y=400
solve the system

Answer 2

let the number of tables be x and number of chairs be y
4x+2y=200 ---(1)
2x+7y=400 ---(2)
MUltiply (2) by 2,
4x+14y=800
(2) - (1) (subtract (1) from (2))
4x+14y - 4x-2y= 800-200
12y= 600
y=50

Sub y=50 to (1)
4x+ 2(50) = 200
4x + 100=200
4x=100
x=25

Tables cost 25 dollars and chairs cost 50 dollars.

Might i comment, how is the chair 2 times more expensive than the table.

Answer 3

thank you