A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees)

Question

Represent the following situations mathematically:

A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs. 750. We would like to find out the number of toys produced on that day.

Answer 1

Let ‘x’ be the number of toys produced on that day.

∴ Cost of production of each toy that day= Rs. 55 − x.

[∵ The cost of production of each toy (in rupees) is 55 minus the number of toys produced in a day]

∴ Cost of production of x toys = Rs. x (55 − x)

[∵ On a particular day, the total cost of production was Rs. 750.]

∴ x (55 − x) = 750

⇒ x² − 55x + 750 = 0