Can anybody help by forming and solving this equation (plz Show steps and worhing)

A train has 180 passengers At the fist stop X get off and 24 get on At the second stop half get off and 40 get on There are now 134 passengers How many passengers got off at the 1st stop (X)

thks 4 any help


Sagot :

Form an equation using information given
180 - x - 24 + 40 = 134
then simplify and solve
196 - x = 134
196 - 134 = x
62 = x
therefore 62 people got off at the first stop
so a the start 180 passengers are on the train
at the first stop x get off and 24 get on or
180-x+24=204-x

at the second stop half get off and 40 get on or
204-x-([204-x]/2)+40 or
204-x-102+x/2+40
104-1/2x+40
144-1/2x
there are now 134 passengers
144-1/2x=134
subtract 134 from both sides
10-1/2x=0
add 1/2x to both sides
10=1/2x
mutliply both sides by 2/1 to make 1/2x=1/1x
20=x
20 got off at the first stop