Problema Solution
A survey conducted in a school showed that 65% of students walk to school the remaining students took buses to school the ratio of students who took school buses to those who took public buses was 4:3 there were 360 more students who walk then who took buses how many students took public buses to school
Answer provided by our tutors
let
t = the total number of students
p = the number of students that took public buses
s = the number of students that took school buses
A survey conducted in a school showed that 65% of students walk to school the remaining students took buses to school and there were 360 more students who walk then who took buses:
0.65t = 0.35t + 360
0.35t = p + s
the ratio of students who took school buses to those who took public buses was 4:3:
s : b = 4 : 3 cross multiply
3s = 4p
by solving the system of equations:
0.65t = 0.35t + 360
0.35t = p + s
3s = 4p
we find:
p = 180 students who took public buses
s = 240 students who took school buses
t = 1200 students who walk
click here to see the step by step solution of the system of equations:
180 students took public buses to school.