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A fishing boat receives $1.50 for each tuna it brings back to port and

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A fishing boat receives $1.50 for each tuna it brings back to port and [#permalink]

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New post 25 Apr 2017, 07:56
1
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (01:06) correct 19% (01:13) wrong based on 27 sessions

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A fishing boat receives $1.50 for each tuna it brings back to port and $1.70 for each mackerel. How many mackerels did it bring back to port yesterday?

(1) Yesterday the number of tuna that the boat brought back was 5 less than twice the number of mackerel brought back.

(2) Yesterday the boat received a total of $2,930 from tuna and mackerel brought back.

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Applying AM-GM inequality into finding extreme/absolute value

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Senior CR Moderator
User avatar
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Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1387
Location: Viet Nam
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Re: A fishing boat receives $1.50 for each tuna it brings back to port and [#permalink]

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New post 04 May 2017, 02:39
nguyendinhtuong wrote:
A fishing boat receives $1.50 for each tuna it brings back to port and $1.70 for each mackerel. How many mackerels did it bring back to port yesterday?

(1) Yesterday the number of tuna that the boat brought back was 5 less than twice the number of mackerel brought back.

(2) Yesterday the boat received a total of $2,930 from tuna and mackerel brought back.

Source: GMAT Free


Call \(x,y\) are respectively the number of tuna and the number of mackerel.

(1) We have \(x=2y-5\). However, we cannot know the value of \(x\) and \(y\). Insufficient.

(2) We have \(1.5x+1.7y=2930\). We still dont know the value of them. Insufficient.

Combine (1) and (2) we have
\(\Big \{
\begin{array}{lr}
x-2y =-5 \\
1.5x+1.7y =2930
\end{array}

\implies
\Big \{
\begin{array}{lr}
x = 625\\
y =1245
\end{array}
\)
Sufficient.

The answer is C
_________________

Actual LSAT CR bank by Broall

How to solve quadratic equations - Factor quadratic equations
Factor table with sign: The useful tool to solve polynomial inequalities
Applying AM-GM inequality into finding extreme/absolute value

New Error Log with Timer

Re: A fishing boat receives $1.50 for each tuna it brings back to port and   [#permalink] 04 May 2017, 02:39
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A fishing boat receives $1.50 for each tuna it brings back to port and

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