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After an ice began to melt out from the freezer, in the first hour los
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09 May 2016, 19:50
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25% (medium)
Question Stats:
79% (01:49) correct 21% (02:40) wrong based on 49 sessions
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After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.5 cubic inches, what is the original volume of the cubic ice, in cubic inches?
Re: After an ice began to melt out from the freezer, in the first hour los
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09 May 2016, 21:05
MathRevolution wrote:
After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.5 cubic inches, what is the original volume of the cubic ice, in cubic inches?
A. 2.5 B. 3.0 C. 4.0 D. 6.5 E. 8.0
* A solution will be posted in two days.
Hi, another way avoiding a bit of calculations is visualization-- after 2 hrs, it is 0.5 = 1/4 of X, where X is at the beginning of 2nd hour, So at the beginning of 2nd hour = 0.5 *4=2.. And similarily in the beginning of 1st hour = 2*4 = 8
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Re: After an ice began to melt out from the freezer, in the first hour los
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11 May 2016, 19:05
If we consider the original volume of an ice to be x, then we get x(1-3/4)(1-3/4)=0.5. From this, we get x(1/4)(1/4)=0.5. So, x=8. The correct answer is E.
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79% (01:49) correct 
