SOLUTION: Hi 2/3 of the people at a fair wore hats. 1/6 of those who wore hats were men and the rest were women. There were 124 more women than menwho wore hats at the fair. how many pe

Question 983348: Hi
2/3 of the people at a fair wore hats. 1/6 of those who wore hats were men and the rest were
women. There were 124 more women than menwho wore hats at the fair.
how many people did not wear hats
how many people were at the fair
THANK YOU
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let x be the number of people at the fair, then
2x/3 is the number of people at the fair who wore hats
(1/6) * (2x/3) = x/9 are men who wore hats
(5/6) * (2x/3) = 5x/9 are women who wore hats
x/9 + 124 = 5x/9
4x/9 = 124
4x = 9 * 124 = 1116
x = 279
(2/3) * 279 = 186
279 - 186 = 93
therefore
93 people did not wear hats
279 people were at the fair

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