Question

an educational trip was arranged . 450 students visited the same . out of 450 student 2/5 students bought books related to the weat bengal and ladakh and 2/3 remaining bought books based on famous cuisines nnd the rest of the students bought books based on the culture and Heritage . Calculate the number of students who bought books based on famous tourist , famous cuisines, amd culture and Heritage​

Answer 1

Given :

Total students visited the trip : 450

Books (West Bengal and Ladakh) : ⅖

Books (Famous cuisines) : ⅔

Rest of the students bought books of culture and heritage.

To find :

The total number of students bought books of West Bengal and Ladakh, Famous cuisines, culture and heritage.

Solution :

First, we should find the number of students who bought the books of West Bengal, Ladakh and Famous cuisines.

Number of students (West Bengal and Ladakh) :

$\sf \dashrightarrow \dfrac{2}{5} \: of \:450$

$\sf \dashrightarrow \dfrac{2}{5} \times 450$

$\sf \dashrightarrow \dfrac{2 \times 450}{5} = \dfrac{900}{5}$

$\sf \dashrightarrow \cancel \dfrac{900}{5} = 180$

Now, we should find the number of remaining students.

Remaining students :

$\sf \dashrightarrow 450 - 180$

$\sf \dashrightarrow 270 \: \: students$

Number of students (Famous cuisines) :

$\sf \dashrightarrow \dfrac{2}{3} \: of \: 270$

$\sf \dashrightarrow \dfrac{2}{3} \times 270$

$\sf \dashrightarrow \dfrac{2 \times 270}{3} = \dfrac{540}{3}$

$\sf \dashrightarrow \cancel \dfrac{540}{3} = 180$

Now, again we should find the number of students.

Remaining students :

$\sf \dashrightarrow 270 - 180$

$\sf \dashrightarrow 90 \: \: students$

Hence, the number of students who bought total number of students bought books of West Bengal and Ladakh, Famous cuisines, culture and heritage are 180, 180 and 90 students respectively.