Question

there are some 50 paise and some 25 paise in a bag . if the total number of coins is 30 and their total value is ₹11 find the number of coins of each kind​

Answer 1

Answer:

The number of  50 paise of the coins are 14 and 25 paise of the coins are 16 .

Step-by-step explanation:

Let us assume that the 50 paise of the coins are x .

Let us assume that the 25 paise of the coins are y .

As given

There are some 50 paise and some 25 paise coins in a bag.

If the total number of coins 30 and their total value is ₹11 .

Equation becomes

x + y = 30

As

1 Rupee =  100 paise

1 Paise = 0.01 Rupee

For 50 paise

50 Paise = 50 × 0.01 Rupee

               = 0.5 Rupee

25 Paise = 25 × 0.01 Rupee

                = 0.25 Rupee

Equation becomes

0.5x + 0.25y = 11

Two equation becomes

x + y = 30

0.5x + 0.25y = 11

Multiply x + y = 30  by 0.5 and subtracted from 0.5x + 0.25y = 11 .

0.5x - 0.5x + 0.25y - 0.5y = 11 - 15

-0.25y = -4

0.25y = 4

y = 4/0.25

y = 16

Put the value of y in the equation x + y = 30 .

x + 16 = 30

x = 30 - 16

x = 14

Therefore the number of  50 paise of the coins are 14 and 25 paise of the coins are 16 .