Question

a cottage industry produces a certain number of potteries in a day it was found that the cost of production of each article rs 5 more than twice the number of potteries production in a day if the cost of production on that day was rs 168 find the number of potteries produced
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Answer 1

Answer:

Let the no. of potteries produced in a day = x

Then, cost of each article = 2x + 5

Given,

cost of production of articles on a day = Rs. 168

To find,

no. of articles produced on that day

solution,

we know, if price of one article is = Rs. 2x + 5

then total cost of all articles= x(2x + 5) = 2x^2 + 5x

So,

2x^2 + 5x = 168

or,

2x^2 + 5x - 168 = 0

2x^2 + 21x - 16x - 168 = 0

x(2x + 21) -8(2x + 21) = 0

(x - 8)(2x + 21) = 0

x = 8 or x = - 21/2

Since, no. of articles can not be negative, therefore x = -21/2 is rejected.

so, x = 8

Answer 2

Step-by-step explanation:

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