# 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:

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

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