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Question 67764This question is from textbook
: bus# 17 runs from apple street to ellis avenue making 3 stops in between. at bonz avenue, 2 people got off and 5 people got on the bus. at crump road, half the people on the bus got off and 4 people got on. at dane square, 3 people got off and 1 person got on. at the finail stop, the remaining 12 people got off. how many people were on the bus when it left apple street?
This question is from textbook
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! bus# 17 runs from apple street to ellis avenue making 3 stops in between. at bonz avenue, 2 people got off and 5 people got on the bus. at crump road, half the people on the bus got off and 4 people got on. at dane square, 3 people got off and 1 person got on. at the final stop, the remaining 12 people got off. how many people were on the bus when it left apple street?
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Let x = number of people that were on the bus when it left apple street
:
bonz: x - 2 + 5:
leaving: (x+3)
:
crump: (x+3) - .5(x+3) + 4 = .5x + 1.5 + 4
leaving (.5x+5.5)
:
dane: (.5x+5.5) - 3 + 1 = .5x + 5.5 - 2
leaving: (.5x+3.5)
:
Final stop: .5x + 3.5 = 12
.5x = 12 - 3.5
.5x = 8.5
x = 17 people
:
:
Check:
bonz: 17 - 2 + 5 = 20
crump: 20 - 10 + 4 = 14
dane: 14 -3 +1 = 12 got off at the final stop
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