How many positive integers less than 300 are there such that they are multiples of 17 or multiples of 16?
Choose the correct choice from the following answers: A) 31 B) 32 C) 33 D) 34 E) 35
300/17 = 17 (plus remainder) so there are 17 multiples of 17   300/16 = 18 (plus remainder) so there are 18 multiples of 16   We need to subtract 1 because 17*16 is a multiple of both so it was counted twice.   The total is  17+18-1= 
<gadget id="calculator"> 17+18-1</gadget>
<output>34</output>
34   The answer is 34.
<result>D</result>
How many positive integers less than 300 are there such that they are multiples of 17 or multiples of 16?