How many numbers between 201 and 301 are divisible by both 3 and 4?

Step 1: Find the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12. So, we are looking for numbers divisible by 12.

Step 2: Find the first number greater than 201 that is divisible by 12. This is done by dividing 201 by 12, rounding up to the nearest whole number, and then multiplying by 12. The result is 204.

Step 3: Find the last number less than 301 that is divisible by 12. This is done by dividing 301 by 12, rounding down to the nearest whole number, and then multiplying by 12. The result is 300.

Step 4: Count the numbers between 204 and 300 (inclusive) that are divisible by 12. This is done by subtracting the smaller number (204) from the larger number (300), dividing by 12, and then adding 1. The result is 9.

So, there are 9 numbers between 201 and 301 that are divisible by both 3 and 4.