Explain, how did we split the number in the equation.
How to prove?
Class 10th, Statistics, Rd sharma, Mathematics.
mehakNewbie
3. 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 articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation to find x.
Share
Solution:
Given that x denotes the number of toys produced in a day.
So, the cost of production of each toy = (55 – x)
And the total cost of production is the product of the number of toys produced in a day and the cost of production of each toy, i.e., x (55 – x)
From the question, it’s given that
The total cost of production on that particular day is Rs.750.
So,
⇒ x (55 – x) = 750
⇒ 55x – x2 = 750
⇒ x2 – 55x + 750 = 0
Thus, the required quadratic equation is x2 – 55x + 750 = 0