What if the game was played till 900? How would your answers change?
Step 1: Number of multiples of 3 from 1 to 900 = 900 ÷ 3 = 300.
Step 2: Number of multiples of 5 from 1 to 900 = 900 ÷ 5 = 180.
Step 3: Number of common multiples of 3 and 5 (multiples of 15) from 1 to 900 = 900 ÷ 15 = 60.
Answer: If played till 900: 'idli' would be said 300 times, 'vada' would be said 180 times, and 'idli-vada' would be said 60 times.
Explanation
Following the same logic: Multiples of 3 from 1 to 900 = 900 ÷ 3 = 300. Multiples of 5 from 1 to 900 = 900 ÷ 5 = 180. Common multiples (multiples of 15) from 1 to 900 = 900 ÷ 15 = 60.
Solution Steps
Step 1: Number of multiples of 3 from 1 to 900 = 900 ÷ 3 = 300.
Step 2: Number of multiples of 5 from 1 to 900 = 900 ÷ 5 = 180.
Step 3: Number of common multiples of 3 and 5 (multiples of 15) from 1 to 900 = 900 ÷ 15 = 60.