Posted by unknown on Monday, October 24, 2011 at 9:52am.
Mr.Hash bough some plates at a a yard sale. After arriving home he found that 2/3 of the plates were chipped, 1/2 were cracked, 1/4 were both chipped and cracked. Only 2 plates were w/o chips or cracks. How many plates did he buy in all?

math  Steve, Monday, October 24, 2011 at 11:12am
Suppose there were p plates. If you count both the ships and the cracks, then you count chipped&cracked twice.
p  2p/3  p/2 + p/4 = 2
12p  8p  6p + 3p = 24
p = 24
So, 16 were chipped
12 were cracked
6 both
2 undamaged

math  Anonymous, Monday, November 5, 2012 at 1:32am
36
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