SOLUTION: Green day frontman Billy Joe Armstrong can write a song in 3 hours. Bassist Mike Dirnt can write one in 4 hours. How many hours will it take Billie and Mike to write 14 songs for

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Green day frontman Billy Joe Armstrong can write a song in 3 hours. Bassist Mike Dirnt can write one in 4 hours. How many hours will it take Billie and Mike to write 14 songs for      Log On


   

Question 1070544: Green day frontman Billy Joe Armstrong can write a song in 3 hours. Bassist Mike Dirnt can write one in 4 hours. How many hours will it take Billie and Mike to write 14 songs for the next album? Set up a system of equations and solve.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
in 1 hour Billy writes 1/3 song, Mike writes 1/4 song
in x hours, B writes x/3 songs, Mike x/4
Set them equal to 14 songs
x/3 + x/4=14
multiply by 12 both sides to clear fractions
4x+3x=168
7x=168
x=24 hours, during which Billy will write 8 and Mike 6 songs.