Represent the following situations in the form of the quadratic equati

1.	Represent the following situations in the form of the quadratic equation. A piece of cloth costs Rs. 200. If the piece was 5 metre longer and each metre of cloth costs Rs. 2 less, the cost of the piece would have remained unchanged.
Answer» Let ‘x’ be the length of cloth. ∵ Cost of x metre is Rs. 200. ∴ Cost per metre = Rs. 200 ÷ x ∴ Cost per metre when total size is x + 5 = Rs. 200 ÷ (x + 5) ∵ Cost of 5 metre longer cloth is Rs. 2 less for each metre. 200/x - 200/(x + 5) = 2

Represent the following situations in the form of the quadratic equation. A piece of cloth costs Rs. 200. If the piece was 5 metre longer and each metre of cloth costs Rs. 2 less, the cost of the piece would have remained unchanged.

Answer»

Let ‘x’ be the length of cloth.

∵ Cost of x metre is Rs. 200.

∴ Cost per metre = Rs. 200 ÷ x

∴ Cost per metre when total size is x + 5 = Rs. 200 ÷ (x + 5)

∵ Cost of 5 metre longer cloth is Rs. 2 less for each metre.

200/x - 200/(x + 5) = 2