SOLUTION: on a schoop trip the ratio of teachers to the number of students is 1:13 The ratio of the number of male students to the number of female students is 3:5 work out what percentage

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: on a schoop trip the ratio of teachers to the number of students is 1:13 The ratio of the number of male students to the number of female students is 3:5 work out what percentage      Log On


   

Question 1072529: on a schoop trip the ratio of teachers to the number of students is 1:13
The ratio of the number of male students to the number of female students is 3:5
work out what percentage of all the people on the trip are female students
give your answer correct to the nearest whole number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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on a school trip the ratio of teachers to the number of students is 1:13
The ratio of the number of male students to the number of female students is 3:5
work out what percentage of all the people on the trip are female students
give your answer correct to the nearest whole number:
:
"the ratio of teachers to the number of students is 1:13"
Let x = no. of teachers
then
13x = no. students
therefore
14x = total no. of people
:
let y be the multiplier, then
3y = no. of male students
and
5y = no. of female students
:
"The ratio of the number of male students to the number of female students is 3:5"
boy + girls = total students
3y + 5y = 13x
8y = 13x
y = 13%2F8x
"work out what percentage of all the people on the trip are female students"\
%285y%29%2F%2814x%29 = girls to total people
replace y with 13%2F8x
5%28%2813%2F8%29x%29%2F%2814x%29 = %28%2865%2F8%29x%29%2F%2814x%29
Cancel x
%28%2865%2F8%29%29%2F%2814%29 = 65%2F8 * 1%2F14 = 65%2F112 = .58 or 58% of the total people are girl students