Multiple choice

A bad contains Rs1, Rs 2 and Rs 5 coins in the ratio of 2:3:5. If the total amount in the bag is Rs 66, find the number of Rs 5 coins in the bag?

  1. 5

  2. 10

  3. 2

  4. 4

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the numbers of Rs. 1, Rs. 2, and Rs. 5 coins be 2k, 3k, and 5k. Their total value is 2k + 6k + 25k = 33k = 66, so k = 2 and the number of Rs. 5 coins is 10.

AI explanation

Let the number of 1, 2 and 5 coins be 2x, 3x and 5x. The total value is 1 times 2x plus 2 times 3x plus 5 times 5x, which equals 66. Simplifying gives 2x plus 6x plus 25x equals 66, so 33x equals 66. Solving for x gives 2, and the number of 5 coins is 5x, which is 5 times 2. The number of 5 coins is 10.