A bag contains coins in the denominations of 50P, 25P and 10P. If the ratio of the number of coins in the bag is 5 : 8 : 6 and the total am… — Answer & Discussion

A bag contains coins in the denominations of 50P, 25P and 10P. If the ratio of the number of coins in the bag is 5 : 8 : 6 and the total amount of money in the bag is Rs 20.40, find the number of 25P coins in the bag.

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Discussion 1

CCommunity31 May 2019

Let, the number of 50P, 25P and 10P coins in the bag are 5x, 8x and 6x.

Given, Total amount of money in the bag = Rs. 20.40 = 20.40 × 100P

Hence,

(50 × 5x) + (25 × 8x) + (10 × 6x) = 20.40 × 100 ----(1)

Solving eqn.(1) we get

250x + 200x + 60x = 2040

510x = 2040

Therefore, x = 4

Hence, number of 50P coins = 5 × 4 = 20

number of 25P coins = 8 × 4 = 32

number of 10P coins = 6 × 4 = 24