Question

A bag contains a total of 93 coins in the form of one rupee and 50 paise coins. If the total value of coins in the bag is Rs.56, find the number of 50 paise coins in the bag?

Answer 1

total no. of coins = 93

let no. of 1 rupee coin be x and 50 paise coin be y

then , x+y=93

and value of coin =5600 paise

100x +50y=5600

x=19 y= 74

no. of 50 paise coins = 74

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Answer 2

Answer:

The number of 50 paise coins are 74

Step-by-step explanation:

Let the number of 50 paise coins be x

Let the number of 100 paise coins be y

Total number of coins = 93

Therefore

x + y = 93 → (1)

Given that the total value of coins = 56 Rupees

= 5600 paise

Therefore

50x + 100y = 5600  → (2)

Multiplying equation (1) by 50 we get equation (3)

50(x + y) = 93 × 50

50x + 50y = 4650 → (3)

By substracting the equations (2) and (3) we get

50y = 950

y = 19

Put y value

x + y = 93

x = 93 - 19

x = 74

Therefore the number of 50 paise coins are 74