Question

5 chairs and 3 tables cost of R$ 350, and 3 Chairs and 5 tables cost R$ 370. What is the cost of the table and two chairs?
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Answer 1

Answer:

table 50 and two chairs 80

Answer 2

Answer:

130

Step-by-step explanation:

Cost of chair = x, Cost of table = y.

Now,

5 x + 3 y = 350 --- (1)

3 x + 5 y = 370 --- (2)

Adding (1) and (2) we get

8 x + 8 y = 720

∴ x + y = 90

So, x = 90- y

Solving in (1) we get,

5 x + 3 y = 350

5 (90 - y) + 3y = 350

∴ 450 - 5y + 3y = 350

∴100 = 2y

∴ y = 50 (Cost of 1 table)

hence, x = 40 (Cost of 1 chair)

Cost of 1 table and 2 chair = 50 + 2 (40) = 50 + 80 = 130