Question

The cost of 4 tables and 2 chairs is 57200. What is the cost of 6 tables and 3 chairs?​

Answer 1

Step-by-step explanation:

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4 tables and 3 chairs, together, cost Rs. 2,250 and 3 tables and 4 chairs cost Rs. 1950. Find the cost of 2 chairs and 1 table.

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Solution

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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

Answer 2

85800

Step-by-step explanation:

table cost = ₹x

chair cost =₹y

( 4x + 2y = ₹57200 ) ÷ 2

( 2x + y = ₹28600 ) × 3

6x + 3y = ₹ 85800