SOLUTION: Please help me solve this equation: A bus is traveling with 52 passengers. When it arrives at a stop y passengers get off and 4 get on. At the next stop one-third of the passenge

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve this equation: A bus is traveling with 52 passengers. When it arrives at a stop y passengers get off and 4 get on. At the next stop one-third of the passenge      Log On


   

Question 684059: Please help me solve this equation: A bus is traveling with 52 passengers. When it arrives at a stop y passengers get off and 4 get on. At the next stop one-third of the passengers get off and 3 get on. There are now 25 passengers. Find y


Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
52 - y + 4
...
56-y+-+%28%281%2F3%29%2856-y%29%29+%2B+3+=+25
...
56-y+-+56%2F3+%2B+y%2F3+%2B+3+=+25
59+-+y+-+56%2F3+%2B+y%2F3+=+25
Multiply the entire equation by 3
177 - 3y - 56 + y = 75
177 - 2y - 56 = 75
121 - 2y = 75
-2y = 75 - 121
-2y = -46
highlight_green%28y+=+23%29
...
Check
52-23+4 = 33
%281%2F3%29%2833%29+=+11
33 - 11 + 3= 25
Correct!
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