Wednesday, 7 January 2015

Women at Club Socials



      Women outnumbered men by 16 at a club social. Sometimes the number of women exceeds nine times the number of men by 32. What was the number of men and women at the club?

Answer: 

 56 women and 40 men: To solve this problem we need to put the story – down in mathematical symbols.
w- 16 = M
7W -32 = 9M
Multiplying line 1 by 9, we obtain:
9W – 144 =9M
Taking away line 2 from line 3 we get:
2W – 112 = 0
W = 56
M = 40

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