At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses at the restaurant? (Assume that all boxes are filled to capacity.) Select the correct option.
A) 96
B) 240
C) 56
D) 384
E) 480
1 small box and 17 large boxes = 1(12) + 17(16) = 12 + 272= 
<gadget id="calculator">12 + 272</gadget>
<output>284</output>
284 glasses at the MINIMUM   Since the question asks for the total number of glasses, we can now eliminate Answers A, B and C....   The difference in the number of boxes MUST be 16 though, so we could have....   2 small boxes and 18 large boxes   3 small boxes and 19 large boxes   etc.   With every additional small box + large box that we add, we add   12+16= 
<gadget id="calculator">  12+16</gadget>
<output>28</output>
28 MORE glasses. Thus, we can just "add 28s" until we hit the correct answer....   284+28= 
<gadget id="calculator">284+28</gadget>
<output>312</output>
312   312+28= 
<gadget id="calculator">312+28</gadget>
<output>340</output>
340   340+28= 
<gadget id="calculator">340+28</gadget>
<output>368</output>
368   368+28= 
<gadget id="calculator">368+28</gadget>
<output>396</output>
396   At this point, we've 'gone past' Answer D, so the correct answer MUST be Answer E.....But here's the proof....   396+28= 
<gadget id="calculator">396+28</gadget>
<output>424</output>
424   424+28= 
<gadget id="calculator">424+28</gadget>
<output>452</output>
452   452+28= 
<gadget id="calculator">452+28</gadget>
<output>480</output>
480   Final Answer:480
<result>E</result>
At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses at the restaurant? (Assume that all boxes are filled to capacity.)