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26 Sep 2022, 12:06
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A
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Difficulty:
15%
(low)
Question Stats:
84% (01:36) correct
16%
(01:31)
wrong
based on 77
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If Scott, Vinnie, and Matt have a total of $27, how much money does Matt have?
(1) Matt has twice as much money as Vinnie and one third as much as Scott.
(2) Matt’s total dollar amount exceeds Vinnie’s total dollar amount by one-sixth of Scott’s dollar amount.
(1) Matt has twice as much money as Vinnie and one third as much as Scott.
(2) Matt’s total dollar amount exceeds Vinnie’s total dollar amount by one-sixth of Scott’s dollar amount.
06 Oct 2022, 22:54
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Bunuel
Solution:
Pre Analysis:
- Scott, Vinnie, and Matt have a total of $27
- So, we can say \(S+V+M=27......(i)\)
- We are asked the value of \(M\)
Statement 1: Matt has twice as much money as Vinnie and one-third as much as Scott
- Accoridng to this statement \(M=2V\) and \(M=\frac{S}{3}\) which we can write as \(V=\frac{M}{2}\) and \(S=3M\)
- We can plug these twp values in equation \((i)\) and write \(3M+\frac{M}{2}+M=27\)
- This can easily be solved andw e will get the value of M
- Thus, statement 1 alone is sufficient and we can eliminate options B, C and E
Statement 2: Matt’s total dollar amount exceeds Vinnie’s total dollar amount by one-sixth of Scott’s dollar amount
- According to this statement, \(M-V=\frac{S}{6}\)
- Howeer, this along with equation \((i)\) will not help us get the value of \(M\)
- Thus, statement 2 alone is not sufficient
Hence the right answer is Option A
