Carl bought 16 gumballs, Lewis bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?  Choose the correct choice:
A) 20
B) 16
C) 22
D) 18
E) 24
Smallest gumballs = (19-16) + (19-12) +19= 
<gadget id="calculator">(19-16) + (19-12) +19</gadget>
<output>29</output>
29   Largest gumballs= (25-16) + (25-12) +25= 
<gadget id="calculator">(25-16) + (25-12) +25</gadget>
<output>47</output>
47   18ifference= 47 - 29= 
<gadget id="calculator">47 - 29</gadget>
<output>18</output>
18   18
<result>D</result>
Carl bought 16 gumballs, Lewis bought 12 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?