The cost of 2 dozen bananas is $Rs.30\dfrac{3}{7}$. Find the cost of 1 banana.
Answer
361.8k+ views
Hint: In the above given question, we are given the price of 2 bananas and we are asked to calculate the price of 1 banana. This can be simply done by dividing the price of bananas with the quantity(number) of the bananas.
Complete step-by-step answer:
Let us assume the cost of 1 banana to be $x$.
We know that, there are 12 bananas in a dozen,
so, 2 dozen bananas$ = 2 \times 12$
=24 bananas.
Now, the cost of 24 bananas$ = 24 \times x$
$ = Rs.24x$
Here given that the cost of 2 dozen, that is, 24 bananas is$Rs.30\dfrac{3}{7}$.
Therefore, we can write,
$\Rightarrow$ $24x = 30\dfrac{3}{7}$
$\Rightarrow$ $24x = \dfrac{{213}}{7}$
$\Rightarrow$ $x = \dfrac{{213}}{{7 \times 24}}$
$\Rightarrow$ $x = \dfrac{{213}}{{168}}$
$ \Rightarrow x = \dfrac{{71}}{{56}}$
$\therefore x = 1\dfrac{{15}}{{56}}$
Hence, the cost of 1 banana is Rs.$1\dfrac{{15}}{{56}}$.
Note: When we face such types of problems, first of all convert the mixed fraction terms and then divide the number of bananas given with the price of the banana and convert the price so obtained into the mixed fraction again, as the given price was also in the mixed fraction only.
Complete step-by-step answer:
Let us assume the cost of 1 banana to be $x$.
We know that, there are 12 bananas in a dozen,
so, 2 dozen bananas$ = 2 \times 12$
=24 bananas.
Now, the cost of 24 bananas$ = 24 \times x$
$ = Rs.24x$
Here given that the cost of 2 dozen, that is, 24 bananas is$Rs.30\dfrac{3}{7}$.
Therefore, we can write,
$\Rightarrow$ $24x = 30\dfrac{3}{7}$
$\Rightarrow$ $24x = \dfrac{{213}}{7}$
$\Rightarrow$ $x = \dfrac{{213}}{{7 \times 24}}$
$\Rightarrow$ $x = \dfrac{{213}}{{168}}$
$ \Rightarrow x = \dfrac{{71}}{{56}}$
$\therefore x = 1\dfrac{{15}}{{56}}$
Hence, the cost of 1 banana is Rs.$1\dfrac{{15}}{{56}}$.
Note: When we face such types of problems, first of all convert the mixed fraction terms and then divide the number of bananas given with the price of the banana and convert the price so obtained into the mixed fraction again, as the given price was also in the mixed fraction only.
Last updated date: 26th Sep 2023
•
Total views: 361.8k
•
Views today: 8.61k
Recently Updated Pages
What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Summary of the poem Where the Mind is Without Fear class 8 english CBSE

The poet says Beauty is heard in Can you hear beauty class 6 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is the past tense of read class 10 english CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
