Question

The cost of three chairs and two tables is rs.2000. If one chair less and one more table are purchased it would cost rs.500 more. What is the cost of a chair and a table?

Answer 1

Answer:

here is your answer.

Step-by-step explanation:

let chair=x

table = y

then according to the statement

3x + 2y=2000

2x +3y= 2500

by equating co efficient,multiply equation number 1 by 2 and equation number 2 by 3,we get

6x +4y = 4000 and

6x +9g = 7500

now subtract these equations (eq # 3 and eq#4)

we get

-5y= -3500 and

y= (-3500)/(-5)

y= 700

so the cost of table is 700

now to find the value of x (price of 1 chair), put the value of y in any equation, i.e equation 1

3x +2(700)=2000

3x + 1400=2000

3x= 2000-1400

3x= 600

x= 600/3

x= 200

so the price of 1 chair is 200