Question

there are only 10paise coins in a purse whose total.amount is rs 45 find the no.of coins in the purse​

Answer 1

Step-by-step explanation:

Let x be the number of 25-paise coins and y be the number of 10-paise coins.

Value of one 25 paise coin =Rs. 0.25

Value of one 10 paise coin =Rs. 0.10

Given that the total amount in the purse is Rs. 8.25.

∴ 0.25x+0.10y=8.25

⇒

4

1

x+

100

1

y=8.25 ....(1)

Also given that, the number of 25 paise coins are one-third of 10 paise coins.

∴ x=

3

1

y ....(2)

Substituting (2) in (1), we get:

12

1

y+

100

1

y=

100

825

⇒

1200

112

y=

100

825

⇒y=

112

825×12

⇒y=45

Substituting value of y in (2), we get:

∴x=15

So, the total number of coins =15+45=60.

Hence, there are a total of 60 coins in the purse.

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