Carolyn bought 17 gumballs, Lew 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?
Pick one.
A) 18	B) 20	C) 22	D) 24	E) 26
Smallest gumballs = (19-17) + (19-12) +19= 
<gadget id="calculator">(19-17) + (19-12) +19</gadget>
<output>28</output>
28   Largest gumballs= (25-17) + (25-12) +25= 
<gadget id="calculator">(25-17) + (25-12) +25</gadget>
<output>46</output>
46   Difference= 46 - 28= 
<gadget id="calculator">46 - 28</gadget>
<output>18</output>
18   18
<result>A</result>
Carolyn bought 17 gumballs, Lew 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?