SOLUTION: There is an institution for men ages 40-60. There are over 600 men who are members of the institution and 5% of the men wear only one piece of jewelry. Of the other 95% of the memb

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Question 1157191: There is an institution for men ages 40-60. There are over 600 men who are members of the institution and 5% of the men wear only one piece of jewelry. Of the other 95% of the members, half wear 2 pieces of jewelry and the other half wear none. How many pieces of jewelry have been worn in this club?
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+.05%2A600+=+30+
30 wear 1 piece of jewelry
+600+-+30+=+570+ men remaining
+%281%2F2%29%2A570+=+285+
285 men wear 2 pieces or
+2%2A285+ pieces
+2%2A285+%2B+30+=+315+
+570+%2B+30+=+600+
600 pieces of jewelry are worn

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Solve mentally (and quickly) with just a little bit of logical reasoning.

Among the 95% who don't wear one piece of jewelry, half wear two and half wear none. So among that 95%, the average number of pieces of jewelry worn is 1.

But the other 5% wear one piece of jewelry -- so on average all 600 men wear one piece of jewelry.

And that of course means the total number of pieces of jewelry is 600.