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Andy, Brian, and Suzy are three numismatics. The number of stamps that
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18 Dec 2023, 01:14
18 Dec 2023, 01:14
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Andy, Brian, and Suzy are three numismatics. The number of stamps that Andy collected was two-third the number of stamps that Brian collected and three-fourth the number of stamps that Suzy collected. Which could be the difference between the numbers of stamps collected by any two among the three friends as a percent of the total number of stamps collected?
Indicate all possible values.
(A) 3.50%
(B) 4.35%
(C) 6.25%
(D) 7.20%
(E) 8.70%
(F) 13.00%
(G) 15.25%
Indicate all possible values.
(A) 3.50%
(B) 4.35%
(C) 6.25%
(D) 7.20%
(E) 8.70%
(F) 13.00%
(G) 15.25%
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Andy, Brian, and Suzy are three numismatics. The number of stamps that
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18 Dec 2023, 22:59
18 Dec 2023, 22:59
1
We can interpret the ratios as \(A = \frac{2}{3}B = \frac{3}{4}S \)(where A = the number of stamps Andy's collected, B = the number of stamps that Brian collected, and S = the number of stamps that Suzy collected).
It makes sense to plug in an integer for A, and the easiest would be 12 because that's the Lowest Common Denominator of the ratios. That makes B = 18, and S = 16, and the total number of stamps collected = 46.
There would only be 3 calculations necessary for the differences between any 2 of the 3:
S - A = 4
B - S = 2
B - A = 6
Then divide each difference by 46:
\(\frac{4 }{ 46} = 8.70\)%, \(\frac{2}{46} = 4.35\)%, and \(\frac{6}{46} = 13.0\)%
It makes sense to plug in an integer for A, and the easiest would be 12 because that's the Lowest Common Denominator of the ratios. That makes B = 18, and S = 16, and the total number of stamps collected = 46.
There would only be 3 calculations necessary for the differences between any 2 of the 3:
S - A = 4
B - S = 2
B - A = 6
Then divide each difference by 46:
\(\frac{4 }{ 46} = 8.70\)%, \(\frac{2}{46} = 4.35\)%, and \(\frac{6}{46} = 13.0\)%
gmatclubot
Andy, Brian, and Suzy are three numismatics. The number of stamps that [#permalink]
18 Dec 2023, 22:59
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