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28 Jan 2009, 14:34
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A's hot tub is half filled. His swimming pool, which has a capacity 4 times of that of the tub, is filled to 4/5 of its capacity. If the hot tube is drained into the swiming pool, to what fraction of its capacity will the pool be filled?
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28 Jan 2009, 14:38
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jairus
A's full capacity = C
tubs capacity = 4C
water filled =4C*4/5+ C/2 = (16/5 +1/2 ) *C= 37/10 *C
Fraction of capacity filled = (37/10 *C)/4C = 37/40
28 Jan 2009, 23:35
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jairus
for these types of questions I always like creating my own numbers.
For example:
Hot Tub Capacity is 20 (since it is half-filled it has 10 units in it)
Pool is 80 (20 * 4) and is filled with 64 units (4/5 * 80)
Add the 10 in the tub to the pool and the new total in the pool is 74/80 = 37/40.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
