SOLUTION: In a class, 2/5 of the boys wear glasses and 1/3 of the girls wear glasses. If the ratio of boys to girls is 10:3, what is the fraction of the class wear glasses?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a class, 2/5 of the boys wear glasses and 1/3 of the girls wear glasses. If the ratio of boys to girls is 10:3, what is the fraction of the class wear glasses?      Log On


   



Question 318494: In a class, 2/5 of the boys wear glasses and 1/3 of the girls wear glasses. If the ratio of boys to girls is 10:3, what is the fraction of the class wear glasses?
Answer by stanbon(75887) About Me  (Show Source):
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In a class, 2/5 of the boys wear glasses and 1/3 of the girls wear glasses. If the ratio of boys to girls is 10:3, what is the fraction of the class wear glasses?
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Let 10x be the number of boys
Then 3x is the number of girls
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Glass wearers:
(2/5)10x + (1/3)3x = 4x+x = 5x
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# of students in the class is 10x + 3x = 13x
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Fraction of glass wearers = 5x/13x = 5/13
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Cheers,
Stan H.
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