Answer:
She stayed awake for 295 minutes today
Explanation:
We are given that:
Yesterday, she drank one cup
Today, she drank [tex]\frac{17}{42}[/tex] of a cup more than yesterday
This means that:
Number of cups she drank today = [tex]1+\frac{17}{42}=1\frac{17}{42}cups[/tex]
Now, we know that she drinks [tex]\frac{2}{7}[/tex] of a cup per hour any time she is not sleeping
We use cross multiplication to get the time she took to drink [tex]1\frac{17}{42}[/tex] cups
1 hour ...........................> [tex]\frac{2}{7}[/tex] of a cup
?? hours ......................> [tex]1\frac{17}{42}[/tex] cups
Time taken = [tex]\frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours[/tex]
This means that she was awake for [tex]4\frac{11}{12}[/tex] hours
Finally, we convert this to minutes:
Knowing that 1 hour has 60 minutes, therefore:
She stayed awake for [tex]4\frac{11}{12} * 60 = 295[/tex] minutes
Hope this helps :)
