+0  
 
0
83
6
avatar+493 

(hard)

 Jun 12, 2021

Best Answer 

 #2
avatar+161 
+2

 

Here is a diagram explaining this problem. Essentially, the circles represent students. A and B represent Alice and Bob. We can see that there are 4 students between Alice and Bob. Thus, if there are 12 students shorter than Alice, $12 - 5$ (the students marked on the diagram), means that there should be $7$ students shorter than Bob. Similarly, $14-5$ means there should be $9$ students taller than Alice. 

 

Adding everything up gives us an answer of $7+6+9 = \boxed{22}$

 Jun 12, 2021
 #1
avatar
0

14 + 12 + 4 + alice + bob = 32?

 Jun 12, 2021
 #2
avatar+161 
+2
Best Answer

 

Here is a diagram explaining this problem. Essentially, the circles represent students. A and B represent Alice and Bob. We can see that there are 4 students between Alice and Bob. Thus, if there are 12 students shorter than Alice, $12 - 5$ (the students marked on the diagram), means that there should be $7$ students shorter than Bob. Similarly, $14-5$ means there should be $9$ students taller than Alice. 

 

Adding everything up gives us an answer of $7+6+9 = \boxed{22}$

xCorrosive Jun 12, 2021
 #3
avatar+121000 
+2

Very  nice logic, xC   !!!!

 

 

 

cool cool cool

CPhill  Jun 13, 2021
 #4
avatar+493 
+2

agreed!

mworkhard222  Jun 13, 2021
 #6
avatar+145 
-1

I know right!!! That was so smart!

mnkmnk  Jun 17, 2021
 #5
avatar+33556 
+3

Nice work xc !   Here is a simple venn perspective:

 

 Jun 13, 2021

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