Question

a bag contains a sum of 777 in the form of rs1,rs2 and rs5 coins in the ratio of 7:5:4 find the number of each type of coin​

Answer 1

Answer :

The number of Rs 1 coins, Rs 2 coins and Rs 5 coins are 147 , 105 and 84 respectively.

Step-by-step explanation :

Given :

A bag contains a sum of Rs. 777 in the form of Rs 1, Rs 2 and Rs 5 coins in the ratio of 7 : 5 : 4

To find :

The number of each type of coins

Solution :

Let

• the number of Rs 1 coins = 7x
• the number of Rs 2 coins = 5x
• the number of Rs 5 coins = 4x

Total value of coins = Rs 777

 7x(Rs 1) + 5x(Rs 2) + 4x(Rs 5) = Rs 777

   7x + 10x + 20x = 777

    37x = 777

      x = 777/37

      x = 21

The value of x is 21.

Substitute x = 21,

• the number of Rs 1 coins = 7x

            = 7(21) = 147

• the number of Rs 2 coins = 5x

           = 5(21) = 105

• the number of Rs 5 coins = 4x

            = 4(21) = 84

Therefore, The number of Rs 1 coins, Rs 2 coins and Rs 5 coins are 147 , 105 and 84 respectively.

Answer 2

7x,5x,4x

Add and equal to 777

7x(1)+5x(2)+4x(5)=777

7x+10x+20x=777

x=21

number of rs1 coins=147

number of rs2 coins=105

number of rs5 coins=84