Question

A chair and a table cost Rs.700 and 2 chairs and 3 tables cost Rs.1900. Find the

cost of one chair and one table separately.​

Answer 1

Answer:

Let a chair = x and a table = y.

x + y = 700 ---- (1)

2x + 3y = 1900 ---- (2)

(1) x 2:

2x + 2y = 1400 ---- (3)

(2) - (3):

y = 500

Put y = 500 into (1).

x + 500 = 700

x = 200

A chair costs Rs. 200. A table costs Rs. 500.

Step-by-step explanation:

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Answer 2

Given that:

• A chair and a table cost Rs. 700 and 2 chairs and 3 tables cost Rs. 1900.

To Find:

• The cost of one chair and one table separately.

Let us assume:

• The cost of one chair be x.
• Cost of one table = (700 - x)

According to the question.

↣ 2 chairs + 3 tables = 1900

↣ 2(x) + 3(700 - x) = 1900

↣ 2x + 2100 - 3x = 1900

↣ 2100 - x = 1900

↣ 2100 - 1900 = x

↣ 200 = x

Hence,

• Cost of one chair = x = Rs 200
• Cost of one table = (700 - x) = (700 - 200) = Rs 500