SOLUTION: A survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. The ratio of students who took school buses to those w

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Question 767542: A survey conducted in a school showed that 65% of the students walked 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 walked than who took buses. How many students took public buses to school?
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Q:
A survey conducted in a school showed that 65% of the students walked 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 walked than who took buses. How many students took public buses to school?
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A:
Let x = number of students who took buses
therefore, x + 360 = number of students who walked
total number of students surveyed = x + (x + 360) = 2x + 360
0.65(2x + 360) = x + 360
1.3x + 234 = x + 360
1.3x - x = 360 - 234
0.3x = 126
x = 126/0.3 = 420
If 4k = number of students who took school buses, then
3k = number of students who took public buses
4k + 3k = 420
7k = 420
k = 420/7 = 60
3k = 180
ANSWER: The number of students who took public buses to school is highlight%28180%29.