SOLUTION: in a school there are 180 students in year 8. 5/9 of the students are boys 1/4 of the boys walk to school 2/5 of girls walk to school what fraction of all year 8 students

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: in a school there are 180 students in year 8. 5/9 of the students are boys 1/4 of the boys walk to school 2/5 of girls walk to school what fraction of all year 8 students       Log On


   



Question 596141: in a school there are 180 students in year 8.
5/9 of the students are boys
1/4 of the boys walk to school
2/5 of girls walk to school
what fraction of all year 8 students walk to school?

Answer by stanbon(75887) About Me  (Show Source):
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in a school there are 180 students in year 8.
5/9 of the students are boys
1/4 of the boys walk to school
2/5 of girls walk to school
what fraction of all year 8 students walk to school?
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Ans: (1/4)(5/9) + (2/5)(4/9) = 5/36 + 8/45
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lcd = 2^2*3^2^5 = 180
(5*5/lcd) + (4*8)/lcd
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= (25+32)/lcd
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= 57/180
= 19/60
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Cheers,
Stan H.