In a given town monogamous 2/3 of the men are married to 3/5 of the women. There are at least 100 men in the town.
What is the least possible number of men and women in the town?
m= number of men, w=number of women
(2/3)m = (3/5)w , we want lowest integer for m and w
m = (9/10)w, with m greater-than or equal to 100
w = (10/9)m
Since w = (10/9)m, 9 divides m
Lowest number of men that is divisible by nine is 108
So we have that w = (10/9)(108) = 120
we conclude that:
(2/3)(108)= 72 men
(3/5)(120)= 72 women
Showing posts with label math. Show all posts
Showing posts with label math. Show all posts
Saturday, February 5, 2011
Sunday, November 1, 2009
Math, Truth, and the Glory of God

"Whatever you do in word or deed, do all in the name of the Lord Jesus, giving thanks through Him to God the Father."May God give us the grace to glorify him in our education.
-Colossians 3:17
-Roman
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