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?

  1. 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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