SOLUTION: Angela is on her way from home in Jersey City into New York City for dinner. She walks 1 mile to the train station, takes the train 3/4 of the way, and takes a taxi 1/6 of the way

Algebra ->  Linear-equations -> SOLUTION: Angela is on her way from home in Jersey City into New York City for dinner. She walks 1 mile to the train station, takes the train 3/4 of the way, and takes a taxi 1/6 of the way       Log On


   

Question 1203957: Angela is on her way from home in Jersey City into New York City for dinner. She walks 1 mile to the train station, takes the train 3/4 of the way, and takes a taxi 1/6 of the way to the restaurant. How far does Angela live from the restaurant?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
For the total trip distance d.
1%2B3d%2F4%2Bd%2F6=d
-
12%2B9d%2B2d=12d
highlight%28d=12%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Angela is on her way from home in Jersey City into New York City for dinner.
let the distance from Angela’s home to restaurant be d
She walks 1mil to the train station,
takes the train 3%2F4 of the way, which is %283%2F4%29d
and takes a taxi 1%2F6 of the way to the restaurant, which is %281%2F6%29d

then
d=1%2B%283%2F4%29d%2B%281%2F6%29d
d=1%2B11d%2F12
d-11d%2F12+=1
12d%2F12-11d%2F12+=1
d%2F12+=1
d+=1%2A12
d+=12
s Angela live 12 miles from the restaurant