Multiple choice

A bag contains Rs. 60 in the denominations of 1-rupee and 2-rupee coins. The ratio of respective numbers of coins is 7 : 4. What is the total number of coins in the bag?

  1. 28 coins

  2. 16 coins

  3. 44 coins

  4. 4 coins

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let number of coins be 7x and 4x. Value = 1*(7x) + 2*(4x) = 60. 7x + 8x = 60, 15x = 60, x = 4. Total coins = 7x + 4x = 11x = 11 * 4 = 44.

AI explanation

Let the number of 1-rupee and 2-rupee coins be 7x and 4x respectively. The total value of the coins is calculated as 1 times 7x plus 2 times 4x, which equals 15x. Since the total amount is Rs. 60, we have 15x equals 60, so x equals 4. The total number of coins is 7x plus 4x, which is 11x, resulting in 11 times 4, equaling 44 coins.

Keep practicing — related questions