Question. There are 92 students altogether. Twenty of them ride the school bus home together, 5/8 of the remaining ride their own bike home, and the rest whose houses are near the school walk home. How many students are walking home?
Answer. 27
What step-by-step reasoning justifies that answer?
Reasoning: If there are 92 students and 20 students take the bus home, the number of students who haven't taken the bus is 92 - 20 = 72 students. 5 / 8 of the students who didn't take the bus home ride bikes home, a total of 5 / 8 * 72 = 45 students. The number of students who neither took the bus nor biked home but walked home is 72 - 45 = 27.