Question

The cost of two tables and three chairs is $705. If the table costs $40 more than the chair, find the cost of the table and the chair.

Answer 1

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Question - The cost of two tables and three chairs is $705. If the table costs $40 more than the chair, find the cost of the table and the chair.

Answer -

The table cost $ 40 more than the chair.

Let us assume the cost of the chair to be x.

Then the cost of the table = $ 40 + x

The cost of 3 chairs = 3 × x = 3x and the cost of 2 tables 2(40 + x)

Total cost of 2 tables and 3 chairs = $705

Therefore, 2(40 + x) + 3x = 705

80 + 2x + 3x = 705

80 + 5x = 705

5x = 705 - 80

5x = 625/5

x = 125 and 40 + x = 40 + 125 = 165