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A
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Difficulty:
45%
(medium)
Question Stats:
60% (01:09) correct
40%
(01:02)
wrong
based on 465
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History
Date
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Not Attempted Yet
Three people Ann, Bob and Colin have a total of $1.80 between them, each having a different amount. Does Ann have the most money?
(1) Ann has $0.6
(2) Bob has $0.5
M36-99
(1) Ann has $0.6
(2) Bob has $0.5
M36-99
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12 Nov 2021, 09:20
Kudos
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Bunuel
Official Solution:
Three people Ann, Bob and Colin have a total of \($ 1.80\) between them, each having a different amount. Does Ann have the most money?
(1) Ann has \($0.6\)
\(a+b+c=180\) (in cents)
\(60+b+c=180\)
\(b+c=120\)
Since we are told that each has a different amount, then Bob must have less than \( $ 0.6\) and Colin must have more than \($ 0.6\) (or vise-versa). Thus, Ann does not have the most money. Sufficient.
(2) Bob has \($0.5\)
\(a+b+c=180\) (in cents)
\(a+50+c=180\)
\(a+c=130\)
Ann can have the most money (say \(a=$1\) and \(c=$ 0.3\)). It is also possible that she does not have the most money (say \(a=$ 0.3\) and \(c=$ 1\)) . Not sufficient.
Answer: A
General Discussion
15 Mar 2018, 02:30
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Bookmarks
Bunuel
We'll translate our question into equations to understand what we need to do.
This is a Precise approach
We're told that A + B + C = $1.8 and asked if A > B and A > C.
(1) So B + C = $1.2. Say B has less than $0.6, than C must have more than $0.6.
Since this is also true the other way around, then Ann can't have the most money so the answer to our question stem is NO.
Sufficient.
(2) So A + C = $1.3. Let's try making A largest: A = $1.3 and C = 0. Works! Now let's try making A smallest - A = 0 and C = $1.3. Also works!
Insufficient.
(A) is our answer.
