Question

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

Answer 1

Hint: It is based on the concept of ratio and proportion. First find the ratio of their ages. Based on this ratio, find out the portion of the money given to both girls. Then this proportion will give the money for each girl.

Complete step-by-step answer:
Data given in the question is,
Age of Shreya is given 15 years, and the age of Bhoomika is given 12 years. Mother want to divide the money between them.
Total money = Rs. 36
Now, we find the ratio of their ages = 15 : 12
On simplification, the ratio we get ratio 5 : 4
So, sum of this ratio = 5+4 = 9
So, proportion of Shreya will be = $\dfrac{5}{9}$
And proportion of Bhoomika will be = $\dfrac{4}{9}$
Thus they will get money Rs. 36 in the proportion of $\dfrac{5}{9}$ : $\dfrac{4}{9}$
Amount that Shreya will get =
$
  36 \times \dfrac{5}{9} \\
   \Rightarrow 4 \times 5 \\
   \Rightarrow 20$
Amount that Bhoomika will get
 $ 36 \times \dfrac{4}{9} \\
   \Rightarrow 4 \times 4 \\
   \Rightarrow 16 $

$\therefore $ Shreya and Bhoomika will get Rs. 20 and Rs. 16 respectively from their mother.

Note:A ratio is a way to compare two quantities by using the division of a certain amount among some parts. A ratio can be written in many ways. For two numbers x and y, we have ratio represented in three ways,
x to y
or x: y
or $\dfrac{x}{y}$
This is read as the ratio of x to y. where as a proportion is an equation that says that two ratios are equivalent. If one number in a proportion is not known, then we can find that number by solving the proportion.