Question

There are some Rs2 and Rs5 coins in a box. The ratio of the number of Rs2 coins to the number of Rs5 coins is 1:3. The value of all the Rs5 coins is Rs45. What is the value of all the Rs2 coins in the box?

Answer 1

Given:

The ratio of the number of Rs2 coins to the number of Rs5 coins is 1:3.

The value of all the Rs5 coins is Rs45.

To find:

The value of all the Rs2 coins in the box.

Solution:

Let x be the number of Rs2 coins and y be the number of Rs5 coins.

The value of all the Rs5 coins is Rs45.

$5y=45$

$y=\dfrac{45}{5}$

$y=9$

The ratio of the number of Rs2 coins to the number of Rs5 coins is 1:3.

$\dfrac{x}{y}=\dfrac{1}{3}$

$\dfrac{x}{9}=\dfrac{1}{3}$

Multiply both sides by 9.

$\dfrac{x}{9}\times 9=\dfrac{1}{3}\times 9$

$x=3$

The value of all the Rs2 coins in the box is:

$\text{Required value}=2x$

$\text{Required value}=2(3)$

$\text{Required value}=6$

Therefore, the value of all the Rs. 2 coins in the box is Rs. 6.