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=(45)/(5)`

`y=9`

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

`(x)/(y)=(1)/(3)`

`(x)/(9)=(1)/(3)`

Multiply both sides by 9.

`(x)/(9)* 9=(1)/(3)* 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.