A cottage industry produces a certain number of potteries in a day. It was found that the cost of production of each article is Rs.5 more than twice the number of potteries produced in a day. If the cost of production on tha5 day was Rs.168,find the number of potteries produced.
Answers
The value of x = 6 and the number of potteries produced is 6.
Step-by-step explanation:
Correct statement should be:
A cottage industry produces a certain number of potteries in a day. It was found that the cost of production of each article is Rs.3 more than twice the number of potteries produced in a day. If the cost of production on that day was Rs. 90,find the number of potteries produced.
Let the number of potteries be produced = x
Cost of production of article on that particular day was = ( 2x + 3)
Total cost of production will be = x(2x + 3)
According to question:
x(2x + 3) = 90
2x^2 + 3x - 90 = 0
2x^2 + 15x - 12x - 90 = 0
x(2x + 15) -6 (2x + 15) = 0
(x - 6)(2x + 15) = 0
(x - 6) = 0
(2x + 15) = 0
x = 6
2x = -15
x = -15/2
Since x = -15/2 not possible
Therefore the value of x = 6 and the number of potteries produced is 6.
Also learn about
What is the loss and profit of the general person in advertising ?
https://brainly.in/question/5251231
Answer:
Step-by-step explanation:
Let the no. of potteries be x
Cost production of article on particular day (2x+5)
Total cost of production will be x(2x+5)
Acc. the Ques
x(2x+5)=168
2x^2+5x=168
2x^2+5x-168=0
2x^2-16x+21x-168=0
2x(x-8)+21(x-8)=0
(x-8)(2x+21)=0
x-8=0 OR 2x+21=0
x=8 OR 2x=-21
x=8 x=-21/2
no. of potteries cannot be in negative
So,8 potteries were produced