4 tables and 3 chairs, together, cost ₹ 2250 and 3 tables and 4 chai

1.	4 tables and 3 chairs, together, cost ₹ 2250 and 3 tables and 4 chairs cost ₹ 1950. Find the cost of 2 chairs and 1 table.
Answer» Let’s assume the cost of 1 table is ₹ x and cost of 1 chair is ₹ y. Then, according to the question 4x + 3y = 2250 … (i) 3x + 4y = 1950 … (ii) On multiplying (i) with 3 and (ii) with 4, We get, 12x + 9y = 6750 … (iii) 12x + 16y = 7800 … (iv) Now, subtracting equation (iv) from (iii), We get, -7y = -1050 y = 150 Using y = 150 in (i), we find x 4x + 3(150) = 2250 4x = 2250 – 450 x = 1800/ 4 ⇒ x = 450 From the question, it’s required to find the value of (x + 2y) ⇒ 450 + 2(150) = 750 Therefore, the total cost of 2 chairs and 1 table is ₹ 750.

4 tables and 3 chairs, together, cost ₹ 2250 and 3 tables and 4 chairs cost ₹ 1950. Find the cost of 2 chairs and 1 table.

Answer»

Let’s assume the cost of 1 table is ₹ x and cost of 1 chair is ₹ y.

Then, according to the question

4x + 3y = 2250 … (i)

3x + 4y = 1950 … (ii)

On multiplying (i) with 3 and (ii) with 4,

We get,

12x + 9y = 6750 … (iii)

12x + 16y = 7800 … (iv)

Now, subtracting equation (iv) from (iii), We get,

-7y = -1050

y = 150

Using y = 150 in (i), we find x

4x + 3(150) = 2250

4x = 2250 – 450

x = 1800/ 4

⇒ x = 450

From the question, it’s required to find the value of (x + 2y)

⇒ 450 + 2(150) = 750

Therefore, the total cost of 2 chairs and 1 table is ₹ 750.