Answer
369.4k+ views
Hint: In the above question we will assume the total number of articles produced be x. Then we will form an equation using the statement given in the question for the cost of production of each article on a particular day. Solve the equation to get the answer.
Complete step-by-step answer: Let the total number articles produced be x.
According to the question, we have
Cost of production of each article on a particular day was 3 more than twice the number of articles produced on that day.
Then the production cost of each article = 3 + 2x
Also the total cost of production on that day was Rs 90.
Total cost of production on that day = x (3 + 2x) = 90
$ \Rightarrow 3x + 2{x^2} = 90$
$ \Rightarrow 2{x^2} + 3x - 90 = 0$
[Solving equation using middle term splitting method]
$ \Rightarrow 2{x^2} + 15x - 12x - 90 = 0$
$ \Rightarrow x(2x + 15) - 6(2x + 15) = 0$
$ \Rightarrow (2x + 15)(x - 6) = 0$
$\therefore x = \dfrac{{ - 15}}{2}$, $6$
Number of articles can never be negative so we do not consider$\dfrac{{ - 15}}{2}$.
Number of articles produced is 6.
Cost of each article = 3 + 2x
= 3 + 2 x 6
= 15 articles
Therefore, the number of articles is 15 and the cost of each article is Rs 6.
Note: In these types of questions, change the given statements into equations, assuming a variable as x or y. In this question we have solved a quadratic equation whose one root is negative and another one is positive. So, we will always consider the positive value or positive root because in this question we want the number of articles and number of articles can never be in a negative number.
Complete step-by-step answer: Let the total number articles produced be x.
According to the question, we have
Cost of production of each article on a particular day was 3 more than twice the number of articles produced on that day.
Then the production cost of each article = 3 + 2x
Also the total cost of production on that day was Rs 90.
Total cost of production on that day = x (3 + 2x) = 90
$ \Rightarrow 3x + 2{x^2} = 90$
$ \Rightarrow 2{x^2} + 3x - 90 = 0$
[Solving equation using middle term splitting method]
$ \Rightarrow 2{x^2} + 15x - 12x - 90 = 0$
$ \Rightarrow x(2x + 15) - 6(2x + 15) = 0$
$ \Rightarrow (2x + 15)(x - 6) = 0$
$\therefore x = \dfrac{{ - 15}}{2}$, $6$
Number of articles can never be negative so we do not consider$\dfrac{{ - 15}}{2}$.
Number of articles produced is 6.
Cost of each article = 3 + 2x
= 3 + 2 x 6
= 15 articles
Therefore, the number of articles is 15 and the cost of each article is Rs 6.
Note: In these types of questions, change the given statements into equations, assuming a variable as x or y. In this question we have solved a quadratic equation whose one root is negative and another one is positive. So, we will always consider the positive value or positive root because in this question we want the number of articles and number of articles can never be in a negative number.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)