The school bus service is only offered to grab one and two students 524s of the total number of students are in grades one and two. 4/7 of the students grades one and two take the school bus to school. What fraction of all students take the school bus to school?

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Let one grade students take the school bus to school=x

Now, two grade students take the school bus to school=524-x   (remaining students from total students are of grade two)

now if ratio of grade one and two students=4/7

then, x/524-x = 4/7

now cross multiply the values:-

x(7) = 4(524-x)

7x=2096-4x

7x+4x=2096

11x=2096

x=2096/11

x=190.5 approx 

x=191   (number of students can not be in the form of decimal)

now, put this value in two grade students = 524-x

                       =524-191

                      =333    

now number of one grade students take school bus for school are 191 and two grade students take school bus for school are 333.