Carolyn bought 16 gumballs, Lew bought 12 gumballs, and Bob 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 from the following answers
A) 20  B) 22  C) 24  D) 26  E) 18
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   Difference= 47 - 29= 
<gadget id="calculator">47 - 29</gadget>
<output>18</output>
18   18
<result>E</result>
Carolyn bought 16 gumballs, Lew bought 12 gumballs, and Bob 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?