Multiple choice

A money box contains one rupee and two rupee coins in the ratio $5:6$. If the total value of the coins in the money box is $Rs.\ 85$. Find the number of two rupee coins.

  1. $30$
  2. $22$
  3. $33$
  4. $29$
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A Correct answer
Explanation

Ratio 5:6 means 5x one-rupee coins and 6x two-rupee coins. Value = 5x(1) + 6x(2) = 5x + 12x = 17x. 17x = 85, so x = 5. Number of two-rupee coins = 6x = 6*5 = 30.

AI explanation

Let the number of one rupee and two rupee coins be 5x and 6x respectively. The total value of the coins is 1(5x) + 2(6x) = 85, which simplifies to 17x = 85. Solving for x gives x = 5. The number of two rupee coins is 6x, which is 6 times 5, equaling 30. However, the question asks for the number of two rupee coins, which is 30.