+0  
 
+1
155
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avatar+606 

If all multiples of 3 and all multiples of 4 are removed from the list of whole numbers 1 through 100, then how many whole numbers are left?

 Apr 21, 2018
 #1
avatar
+2

1-100

100/3 = 33

100-33 =67

100/4 = 25     BUT ...some of those are multiples of 3     12 24 36 48 60 72 84 96 and have already been counted as multiples of 3    

                         so instead of 25   it is    25 - 8 = 17

 

33+17 = 50

100-50 = 50 numbers left   

 Apr 21, 2018
 #2
avatar+3763 
+1

Multiples of 3: 100/3= 33 1/3 - 33

Multiples of 4- 25, some are multiples of 3, so 25-8=17, so 33+17=50

 Apr 21, 2018

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