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by amit28it » Sat Dec 17, 2011 5:32 am
The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?

A. 0.2
B. 0.3
C. 0.4
D. 0.5
E. 0.6
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by rijul007 » Sat Dec 17, 2011 5:50 am
amit28it wrote:The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?

A. 0.2
B. 0.3
C. 0.4
D. 0.5
E. 0.6
Total wt = 2
Wt after 3/4 of the cookies are eaten = 0.8
Wt of 3/4 of the cookies = 2-0.8 = 1.2
Wt of all the cookies = 4/3 of 1.2 = 1.6
Wt of the tin =2-1.6 =0.4

Option C
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by LalaB » Sat Dec 17, 2011 6:48 am
t+�=2

t+1/4c=0.8

multiply the 1st expression by 1/4

so, now we have
1/4t+1/4c=0.5
minus
t+1/4c=0.8

t=4/10=0.4
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by GMATGuruNY » Sat Dec 17, 2011 6:56 am
amit28it wrote:The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?

A. 0.2
B. 0.3
C. 0.4
D. 0.5
E. 0.6
We can plug in the answers, which represent the weight of the tin.
Since the total weight of the tin and the cookies is 2 pounds, the answer choices imply that the uneaten cookies weigh one of the following:
1.8, 1.7, 1.6, 1.5, 1.4.
Since 3/4 of the cookies are eaten, and 1.8, 1.7, 1.5 and 1.4 are not easily divided by 4, only answer choice C seems viable:
Amount of cookies eaten = (3/4)1.6 = 1.2.
Remaining weight = 2-1.2 = .8.
Success!

The correct answer is C.
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by rijul007 » Sat Dec 17, 2011 7:11 am
GMATGuruNY wrote:
amit28it wrote:The total weight of a tin and the cookies it contains is 2 pounds. After ¾ of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. What is the weight of the empty tin in pounds?

A. 0.2
B. 0.3
C. 0.4
D. 0.5
E. 0.6
We can plug in the answers, which represent the weight of the tin.
Since the total weight of the tin and the cookies is 2 pounds, the answer choices imply that the uneaten cookies weigh one of the following:
1.8, 1.7, 1.6, 1.5, 1.4.
Since 3/4 of the cookies are eaten, and 1.8, 1.7, 1.5 and 1.4 are not easily divided by 4, only answer choice C seems viable:
Amount of cookies eaten = (3/4)1.6 = 1.2.
Remaining weight = 2-1.2 = .8.
Success!

The correct answer is C.
Sweet!
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by amit28it » Fri Dec 23, 2011 4:19 am
Thanks all of you to solve my queries .Now i can solve these type of questions .So there are also some Different Forms of Numbers in X Grade which are complex .So can you guys help those question to solve for me .
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