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 produced in a day .if the cost of production on that day was rs 168 ,find the number of potteries produced

Answer 1

Step-by-step explanation:

Given  

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 produced in a day .if the cost of production on that day was rs 168 ,find the number of potteries produced

• Let the number of potteries produced be p
• Cost of production of article on that particular day was (2p + 5)
• According to question
• P(2p + 5) = 168
• 2p^2 + 5p – 168 = 0
• 2p^2 - 16p + 21p – 168 = 0
• 2p(p - 8) + 21(p - 8) = 0
• (p – 8)(2p + 21) = 0
• (p – 8) = 0
• (2p + 21) = 0
• So p = 8, 2p = - 21
• So p = 8, p = - 21/2

Therefore the number of potteries produced will be 8

Reference link will be

https://brainly.in/question/13918714