SOLUTION: 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 go

Algebra ->  Algebra  -> Inequalities -> SOLUTION: 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 go      Log On

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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

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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?
:
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