SOLUTION: Mike and Tina each had iPods . Tina had 4/5 as many songs as Mike. When Mike accidentally erased 27 songs from her iPod, Tina had twice as many songs as Mike. How many songs did Mi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mike and Tina each had iPods . Tina had 4/5 as many songs as Mike. When Mike accidentally erased 27 songs from her iPod, Tina had twice as many songs as Mike. How many songs did Mi      Log On


   

Question 259720: Mike and Tina each had iPods . Tina had 4/5 as many songs as Mike. When Mike accidentally erased 27 songs from her iPod, Tina had twice as many songs as Mike. How many songs did Mike originally have?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
In this weird PC(politically correct but insane ) world where men have women's names and vice versa Mike is female.
Then we have:
t=4/5*m
(m-27)=t/2
m=45
t=36
check
45-27=36/2
18=18
ok
If the "her" is Tina it doesn't work out.
t=4/5*m
(t-27)=2m
4/5*m-27=2m
m=-45/2
m can't be negative and it must be a whole number.