Mother wants to divide Rs. 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.

AcademicMathematicsNCERTClass 6

Given:

Mother wants to divide Rs. 36 between her daughters Shreya and Bhoomika in the ratio of their ages.

The age of Shreya is 15 years and the age of Bhoomika is 12 years.

To do:

We have to find the shares of both Shreya and Bhoomika. 

Solution:

The age of Shreya $=15\ years$

The age of Bhoomika $=12\ years$

Total amount mother has $=Rs.\ 36$

The ratio of the age of Shreya to the age of Bhoomika $=\frac{15}{12}$

$=\frac{5}{4}$

The ratio of the age of Shreya to the age of Bhoomika is $5:4$

This implies,

The ratio of the share of Shreya to the share of Bhoomika is $5:4$

Let the share of Shreya be $5x$

This implies,

The share of Bhoomika $=4x$

Therefore,

Total amount $=5x+4x$

$=9x$

$\Rightarrow 9x =Rs.\ 36$

$x=Rs.\ \frac{36}{9}$

$=Rs.\ 4$

The share of Bhoomika $=4x$

$=4\times4$

$=Rs.\ 16$

The share of Shreya $=5x$

$=5\times4$

$=Rs.\ 20$

The share of Shreya is $Rs.\ 20$ and the share of Bhoomika is $Rs.\ 16$.

raja
Updated on 10-Oct-2022 13:36:48

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