SOLUTION: A typical college student spends 1/3 of her waking time in class, 1/5 of her waking time eating, 1/10 of her waking time working out, 3 hrs studying, and 2.5 hrs doing other things

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Question 141010: A typical college student spends 1/3 of her waking time in class, 1/5 of her waking time eating, 1/10 of her waking time working out, 3 hrs studying, and 2.5 hrs doing other things. How many hours of sleep does she get?

Answer by nabla(475)   (Show Source): You can put this solution on YOUR website!
First, let's compose a combined fraction of the three given, so that we know what fraction of her waking time we have to work with with the other two figures:

That is to say, 19/30 of her time is spent between class, eating, and working out. This leaves 11/30 of her time between studying and doing other things.
So, let's compose an equality that says the remaining time must equal the remaining fraction of her waking time:

.
This means that she is awake 15 out of every 24 hours. Thus, she sleeps for hours per 24 hours.

Check:
class: 5
eating: 3
working out: 1.5
studying: 3
other: 2.5
--------
waking total:15
+sleep:9
waking+sleep total:24.
If you have further difficulty, please send me an E-mail via my "me" page. Hope this helped.

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