SOLUTION: Zach has 3/4 hour to play video games. It takes him 1/12 hour to set up the system. Each round of his favorite game takes 1/6 hour. How many rounds can he play?

Algebra ->  Equations -> SOLUTION: Zach has 3/4 hour to play video games. It takes him 1/12 hour to set up the system. Each round of his favorite game takes 1/6 hour. How many rounds can he play?      Log On


   



Question 1131507: Zach has 3/4 hour to play video games. It takes him 1/12 hour to set up the system. Each round of his favorite game takes 1/6 hour. How many rounds can he play?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Zach has 3/4 hour to play video games.
It takes him 1/12 hour to set up the system.
Each round of his favorite game takes 1/6 hour.
How many rounds can he play?
:
let n = no. of video games played
1%2F6n + 1%2F12 = 3%2F4
multiply equation by 12
12*1%2F6n + 12*1%2F12 = 12*3%2F4
cancel the denominators
2n + 1 = 3(3)
2n + 1 = 9
2n = 9 - 1`
n = 8%2F2
n = 4 video games
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Check:
4%2F6 + 1%2F12 =
8%2F12 + 1%2F12 = 9%2F12 = 3%2F4