Question

a money box has twice as many one rupee coins as two rupee coins. If the total amount is Rs 56, find the total number of coins ​

Answer 1

Step-by-step explanation:

Number of two rupee coins:x

Number of one rupee coins:2x

Value of two rupee coins:2x

value of one rupee coins:1x2x

:2x

ATS

2x +2x =56

4x=56

X=56÷4

=14Ans

Answer 2

Answer:

there are 42 coins in the money box

(   number of two rupee coins =  14

number of one rupee coins =  28  )

Step-by-step explanation:

let number of two rupee coins be x

value of 1  two rupee coin is 2

so value of all two rupee coins =  value of 1 two rupee coin * total number of two rupee coins

= 2*x = 2x

so value of all two rupee coins is 2x

there are twice as many one rupee coins as two rupee coins

so number of one rupee coins = 2 * number of two rupee coins = 2 * x = 2x

value of 1 one rupee coin = 1

total value of one rupee coins = value of  1 one rupee coin *  total number of one rupee coins

= 1 * 2x = 2x

so value of all one rupee coins is 2x

total value of all coins = 56

so value of one rupee coins + value of two rupee coins = 56

=> 2x + 2x = 56

=> 4x = 56

=> x = 56 / 4 = 14

number of two rupee coins = x = 14

number of one rupee coins = 2x = 2 * 14 = 28

total number of coins = 28 + 14 = 42

So there are 42 coins in the money box