A cottage industry produces a certain number of potteries in a day. It was found that the cost of production of each article ₹5 more than twice the number of potteries produced in a day. If the cost of production on that day was ₹168, find the number of potteries produced
Answers
Answer:
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.
Answer:
The value of x = 6 and the number of potteries produced is 6.
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.
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