Question

the cost of 4 chairs and 2 table is 2700 if 1 table costs rs150 more than a chair find the cost of each

Answer 1

Step-by-step explanation:

(1) the cost of 4 chairs and 2 table is 2700 if 1 table costs rs150 more than a chair find the cost of each

==> let the number chairs be x.

let the number of tables be y.

According to the first condition,

4x+2y = 2700_____(1)

According to the second condition,

y = 150 + x

.: -x + y = 150______(2)

On multiplying equation (2) by 2

.: -2x +2y = 300_______(3)

On subtracting equation (3) by (2)

.:. 4x + 2y=2700

-2x + 2y=300

(-) (-) (-)

__________________

.:. 6x =2400

.:. x. =400

Substitute value of x=400 in equation (3)

4x+2y=300

.°. 4(400)+2y=300

.°. 1600+2y=300

.°. 2y=300-1600

.°. 2y=1300

.°. y=1300

_____

2

.°. (x, y)=(400,1300. )

_____)

2. )

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