Question

A bag contains 25 paise and 50 paise coins whose total value is Rs 45. If the number of 25 paise coins four times that of 50 paise coins, find the number of each type of coins​

Answer 1

⛦Given :

• Bag contains 25 and 50 paise coins.
• The total value is ₹45.
• The number of 25 paise coin is 4 times 50 paise coins.

⛦To find :

• The number of each type of coins.

⛦Solution :

As it is given that the the 25 paise coins is four times the 50 paise coins.

∴ Let us assume the number of 50 paise coins as x

Then the number of 25 paise coins will be 4(x) = 4x

Now,

• The value of 25 paise coins is = 25(4x) = 100x

• And The value of 50 paise coins is = 50(x) = 50x

☆We will convert ₹45 to paise

So, 1 rupee = 100 paise

Therefore, ₹45 = (45×100)paise = 4500 paise

⠀⠀⠀According to Question,

⠀⠀⠀⠀⟾ 100x + 50x = 45

⠀⠀⠀⠀⟾ 150x = 45

⠀⠀⠀⠀⟾ x = 4500/150

⠀⠀⠀⠀⟾ x = 30

⠀⠀------------------------------------

Hence, the number of 50 paise coins is 30.

And, the number of 25 paise coins is 4×30 = 120.

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