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

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Math Expert
Joined: 02 Sep 2009
Posts: 61232
A fishing boat receives \$1.50 for each tuna it brings back to port and  [#permalink]

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21 Jan 2020, 03:45
1
00:00

Difficulty:

45% (medium)

Question Stats:

76% (01:33) correct 24% (01:18) wrong based on 16 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.

Source: GMAT Free

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Joined: 22 Sep 2018
Posts: 58
Re: A fishing boat receives \$1.50 for each tuna it brings back to port and  [#permalink]

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23 Jan 2020, 05:57
Bunuel 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

from the question we can say ,

price of tuna = 1.5\$,

Price of mackerel = 1.7\$,

so from statement 1 ,

it is Nt = 2*Nm -5, this doesn't have unique solution , so Insufficient.

From statement 2,

Nt* 1.5 + Nm*1.7 = 2930.

I have doubt here , before going for combining , how can I say that this equation has unique solution or not in general , please help .
Re: A fishing boat receives \$1.50 for each tuna it brings back to port and   [#permalink] 23 Jan 2020, 05:57
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