Question 1072529
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 = {{{13/8}}}x
"work out what percentage of all the people on the trip are female students"\
{{{(5y)/(14x)}}} = girls to total people
replace y with {{{13/8}}}x
{{{5((13/8)x)/(14x)}}} = {{{((65/8)x)/(14x)}}}
Cancel x
{{{((65/8))/(14)}}} = {{{65/8}}} * {{{1/14}}} = {{{65/112}}} = .58 or 58% of the total people are girl students