# Video game

Nicole is playing a video game where each round lasts 7/12 of an hour. She has scheduled 3 3/4 hours to play the game. How many rounds can Nicole play?

Result

n =  6

#### Solution:

$t_{ 1 } = \dfrac{ 7 }{ 12 } \doteq 0.5833 \ h \ \\ t_{ 2 } = 3 + \dfrac{ 3 }{ 4 } = \dfrac{ 15 }{ 4 } = 3.75 \ h \ \\ \ \\ N = t_{ 2 }/t_{ 1 } = 3.75/0.5833 = \dfrac{ 45 }{ 7 } \doteq 6.4286 \ \\ \ \\ n = \lfloor N \rfloor = \lfloor 6.4286 \rfloor = 6$

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