Question

the cost of 7 chairs are equal to cost of 2 tables.if the cost of 6 Aand 5 tables is 10575 find cost of 12 chairs

Answer 1

Answer:

Step-by-step explanation:

Cost of 7 chairs = cost of 2 tables

Cost of a table= $1050

Cost of 2 tables= $1050×2

= $ 2100

Cost of 7 chairs = $ 2100

Cost of a chair= $ 2100÷ 7

= $ 300

Answer 2

Answer:-

The cost of 12 chairs is 5400.

Explanation:-

Given:-

• Cost of 7 chairs are equal to cost of 2 tables.

• Cost of 6 chairs and 5 tables is 10575.

To Find:-

• The cost of 12 chairs.

So,

Let the cost of 1 chair be x and cost of one table be y.

Therefore ATQ:-

↦ Cost of 7 chairs = Cost of 2 tables.

↦ 7 × cost of 1 chair = 2 × cost of 1 table.

↦ 7x = 2y.

↦ y = 7x/2 = Cost of one table...(1)

Also, The Que states that:-

↦ Cost of 6 chairs + 5 tables = 10575.

↦ 6x + 5y = 10575.

↦ 6x + 5(7x/2) = 10575.

[From Eq(1)].

↦ 6x + 35x/2 = 10575.

↦ (12x + 35x)/2 = 10575.

[Taking LCM].

↦ 12x + 35x = 10575 × 2.

↦ 47x = 21150.

↦ x = 21150/47.

↦ x = 450 = Cost of 1 chair.

So cost of one chair is x which is equal to 450.

Therefore,

Cost of 12 chairs:-

= 12 × Cost of 1 chair.

= 12 × 450

= 5400.

Therefore Cost Of 12 Chairs Are 5400.