Question

A piggy bank contains only 50p coins and 25p. There are 4times as many 50p coins as there are 25p coins.if all the in the piggy adds upto rupees 1080,find the no. of 50 p coins in it

Answer 1

let 25paise coins be x and therefore 50paise coins becomes 4x

Answer 2

The number of 50p coins is 1920.

Step-by-step explanation:

Let the number of 25p coins is x.

Given :

• There are 4times as many 50p coins as there are 25p coins.

The number of 50p coins is 4x.

• If all the in the piggy adds upto rupees 1080.

$\rightarrow \: \frac{25}{100} \times x + \frac{50}{100} \times 4x = 1080 \\ \rightarrow \: \frac{x}{4} + \frac{4x}{2} = 1080 \\ \rightarrow \: \frac{9x}{4} = 1080 \\ \rightarrow \:x = 480$

So, the number of 25p coins is 480.

Then the number of 50p coins is given by

$\rightarrow \:4x = 4 \times 480 = 1920$

The number of 50p coins is 1920.