How many natural numbers between 150 and 300 are divisible by 9?
To find the numbers that are divisible by 9, I need to look at the multiples of 9 in the given range. The smallest multiple of 9 that is greater than or equal to 150 is 153, which is 9 times 17. The largest multiple of 9 that is less than or equal to 300 is 297, which is 9 times 33. So the numbers I'm looking for are of the form 9k, where k is an integer between 17 and 33, inclusive. There are 33 - 17 + 1 = 17 such values of k, so there are 17 natural numbers between 150 and 300 that are divisible by 9. 