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Three people Ann, Bob and Colin have a total of $1.80 between them, ea

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Three people Ann, Bob and Colin have a total of $1.80 between them, ea [#permalink]

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New post 14 Mar 2018, 23:30
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FRESH GMAT CLUB QUESTION:



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
[Reveal] Spoiler: OA

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Re: Three people Ann, Bob and Colin have a total of $1.80 between them, ea [#permalink]

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New post 15 Mar 2018, 02:30
Bunuel wrote:

FRESH GMAT CLUB QUESTION:



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


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.
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Re: Three people Ann, Bob and Colin have a total of $1.80 between them, ea   [#permalink] 15 Mar 2018, 02:30
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