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11 Feb 2011, 09:14
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A
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Difficulty:
15%
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Question Stats:
78% (01:21) correct
22%
(01:21)
wrong
based on 1611
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A certain alloy contains Lead, copper and tin. How many pounds of tin are in 56 pounds of the alloy?
(1) By weight the alloy is 3/7 lead and 5/14 copper.
(2) By weight the alloy is 6 parts lead and 5 parts copper.
(1) By weight the alloy is 3/7 lead and 5/14 copper.
(2) By weight the alloy is 6 parts lead and 5 parts copper.
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11 Feb 2011, 09:27
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Weight of Tin - T lbs
Weight of Copper - C lbs
Weight of Lead - L lbs
T+C+L=56 lbs of the alloy
Q: T=?
S1: By weight the alloy is 3/7 lead and 5/14 copper
L=3/7*56
C=5/14*56
T=56-(3/7*56+5/14*56).
Sufficient.
S2: By weight the alloy is 6 parts lead and 5 parts copper
Alloy is y parts T
x be the multiplier
6x+5x+yx=56
11x+yx=56
y,x can have many values.
Not sufficient.
Ans: "A"
Weight of Copper - C lbs
Weight of Lead - L lbs
T+C+L=56 lbs of the alloy
Q: T=?
S1: By weight the alloy is 3/7 lead and 5/14 copper
L=3/7*56
C=5/14*56
T=56-(3/7*56+5/14*56).
Sufficient.
S2: By weight the alloy is 6 parts lead and 5 parts copper
Alloy is y parts T
x be the multiplier
6x+5x+yx=56
11x+yx=56
y,x can have many values.
Not sufficient.
Ans: "A"
General Discussion
11 Feb 2011, 09:36
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rxs0005
A certain alloy contains Lead , copper and tin. How many pounds of tin are in 56 pounds of the alloy?
(1) By weight the alloy is 3/7 lead and 5/14 copper --> by weight tin will be 1-(3/7+5/14)=3/14 of the alloy, thus there are 56*3/14=12 pounds of tin in the alloy. Sufficient.
(2) By weight the alloy is 6 parts lead and 5 parts copper. Clearly insufficient: for example tin could be 9 parts (45% of 56 pounds) or 89 part (89% of 56 pounds). Not sufficient.
Answer: A.
