The Total Values of Coins Are 840. Then Find the Total Number of Coins.


Question: A bag contains 25 paise coins, 50 paise coins and 1 rupee coins whose values are in the ratio of 8:4:2. The total values of coins are 840. Then, find the total number of coins.

The problem can be solved using linear equations in one variable.

Answer: The total number of coins is 1960.

Let's understand the terms in detail.

Explanation:

Given that the number of 25p, 50p and Rs.1 coins are in the ratio 8 : 4 : 2

So, let the number of 25p coins be 8x, 50p coins be 4x, Rs.1 coins be 2x.

  Number of coins Contributed Value
25 paise 8x 25(8x) 200x
50 paise 4x 50(4x) 200x
Rs 1 = 100 paise 2x 100(2x) 200x
Total 14x 600x

⇒ Total amount = 600x = Rs 840 = 84000 paise

⇒ 600x = 84000

⇒ x = 84000/600

⇒ x = 140

So, total number of coins = 8x + 4x + 2x = 14x = 14(140) = 1960.

Thus, the total number of coins that the bag contains is 1960.