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21 Nov 2017, 23:02
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Difficulty:
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70% (02:07) correct
30%
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Four scientists collaborate on a research project for which they receive a prize that comes with a monetary award. They agree to divide the money into four shares in proportion to the time that each scientist spent on the project. If the shares are in the amounts a/2, a/3, a/4, and a/6, respectively, what is the value of a?
A. 1/3
B. 4/15
C. 4/5
D. 5/4
E. 3
A. 1/3
B. 4/15
C. 4/5
D. 5/4
E. 3
Luckisnoexcuse
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22 Nov 2017, 00:15
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Bunuel
Four scientists collaborate on a research project for which they receive a prize that comes with a monetary award. They agree to divide the money into four shares in proportion to the time that each scientist spent on the project. If the shares are in the amounts a/2, a/3, a/4, and a/6, respectively, what is the value of a?
A. 1/3
B. 4/15
C. 4/5
D. 5/4
E. 3
A. 1/3
B. 4/15
C. 4/5
D. 5/4
E. 3
a/2 + a/3+ a/4 +a/6 = 1
15a = 12
a = 4/5
C
27 Nov 2017, 12:41
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Bunuel
Four scientists collaborate on a research project for which they receive a prize that comes with a monetary award. They agree to divide the money into four shares in proportion to the time that each scientist spent on the project. If the shares are in the amounts a/2, a/3, a/4, and a/6, respectively, what is the value of a?
A. 1/3
B. 4/15
C. 4/5
D. 5/4
E. 3
A. 1/3
B. 4/15
C. 4/5
D. 5/4
E. 3
Since the sum of the shares is 1, we have:
a/2 + a/3 + a/4 + a/6 = 1
6a/12 + 4a/12 + 3a/12 + 2a/12 = 1
15a/12 = 1
15a = 12
a = 12/15 = 4/5
Answer: C
