SOLUTION: if 1/4 of the students walk, 1/3 get dropped off, 1/6 ride bikes, and 24 ride the bus, how many students are there?

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Question 703152: if 1/4 of the students walk, 1/3 get dropped off, 1/6 ride bikes, and 24 ride the bus, how many students are there?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = total number of students
given:
+%281%2F4%29%2An+%2B+%281%2F3%29%2An+%2B+%281%2F6%29%2An+%2B+24+=+n+
Multiply both sides by +12+
+3n+%2B+4n+%2B+2n+%2B+288+=+12n+
+12n+-+9n+=+288+
+3n+=+288+
+n+=+96+
There are 96 students
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check:
+%281%2F4%29%2A96+=+24+
+%281%2F3%29%2A96+=+32+
+%281%2F6%29%2A96+=+16+
+24+%2B+32+%2B+16+%2B+24+=+96+
+96+=+96+
OK