Grade 6, percentage
posted by Peachie
A survey conducted in a school showed that 65% of the pupils walked to school.the remaining number of pupils took buses to school the ratio of the number of pupils who took school buses to those who took public buses was 4:3.there were 360 more pupils who walked than those who took buses.how many pupils took public buses to school?

Reiny
number who took the bus  x
"there were 360 more pupils who walked than those who took buses"
> number who walked = x+360
(x+360) : x = 65% : 35% = 13 : 7
(x+360)/x = 13/7
13x = 7x + 2520
6x = 2520
x = 420
so 420 took the bus, and 780 walked
total number of students = 1200
(check: is .65 of 1200 = 780? YES)
last part:
school bus : public bus = 4 : 3 = 4k : 3k
7k = 420
k = 60
then 4k = 240, and 3k = 180
The number who took the public bus is 3k or
180.
check that one:
school : public = 180 : 240 = 3 : 4
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