Question

A bag contains 50p, 25p and 1 rupee coins in the ratio of 2:4:1. Find the number of coins in the bag if the bag contains Rs 60.

Answer 1

Let no. of 25 paise coins be x. Then the number of 1 rupee coins are 3x

Let the number of 50 paise coins =y

Total number of coins =220

Total amount = Rs. 160

Now,

0.25x+0.5y+3x=3.25x+0.5y=160...(1)

Total number of coins,

x+3x+y=220

4x+y=220...(2)

Multiply equation (1) by 2 and subtract from equation (2)

6.5x+y−4x−y=320−220

⇒2.5x=100

⇒x=40

Putting the value of x=40 in equation (2)

(4∗40)+y=220

160+y=220

⇒y=60

∴ Number of coins of 50 paise coins =60