the cost of one table and three chairs together is rupees 2060 if the

1.	the cost of one table and three chairs together is rupees 2060 if the table cost rupees 140 more than the chair find the price of one table and one chair.
Answer» Answer: Let the cost of ONE table =x And cost of one chair =y ⇒4x+3y=2250 ⇒3x+4y=1950 Equation (1) × 3 : 12x+9y=2250×3 Equation (2) × 4 : 12x+16y=1950×4 Subtract TWO equations ; ⇒7y=1050 ⇒y=150 ⇒x=450 ⇒cost of one table =x=450 ⇒cost of one chair =y=150 ⇒cost of 2 chairs and 1 table =2x+y=2(450)+150=1050

the cost of one table and three chairs together is rupees 2060 if the table cost rupees 140 more than the chair find the price of one table and one chair.

Answer»

Answer:

Let the cost of ONE table =x

And cost of one chair =y

⇒4x+3y=2250

⇒3x+4y=1950

Equation (1) × 3 : 12x+9y=2250×3

Equation (2) × 4 : 12x+16y=1950×4

Subtract TWO equations ;

⇒7y=1050

⇒y=150

⇒x=450

⇒cost of one table =x=450

⇒cost of one chair =y=150

⇒cost of 2 chairs and 1 table =2x+y=2(450)+150=1050