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Fred goes to a seafood market to purchase lobsters

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Fred goes to a seafood market to purchase lobsters  [#permalink]

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New post 28 Jul 2014, 09:48
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Question Stats:

86% (01:27) correct 14% (01:45) wrong based on 124 sessions

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Fred goes to a seafood market to purchase lobsters. All the lobsters he buys cost either $4 or $5. If he buys a total of 25 lobsters, and spends $112, what fraction of the lobsters that he purchased cost $5?

A) \(\frac{12}{25}\)

B) \(\frac{13}{25}\)

C) \(\frac{14}{25}\)

D) \(\frac{3}{5}\)

E) \(\frac{16}{25}\)

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Re: Fred goes to a seafood market to purchase lobsters  [#permalink]

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New post 28 Jul 2014, 10:34
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Gnpth wrote:
Fred goes to a seafood market to purchase lobsters. All the lobsters he buys cost either $4 or $5. If he buys a total of 25 lobsters, and spends $112, what fraction of the lobsters that he purchased cost $5?

A) \(\frac{12}{25}\)

B) \(\frac{13}{25}\)

C) \(\frac{14}{25}\)

D) \(\frac{3}{5}\)

E) \(\frac{16}{25}\)


5x+ 4(25 - x) = 112 --> x = 12 --> ($5 lobsters)/(total) = x/25 = 12/25.

Answer: A.
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Fred goes to a seafood market to purchase lobsters  [#permalink]

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New post 27 Dec 2018, 09:56
I used the answers to find the correct solution.

By looking at the answer choices and given the information, you can eliminate B & D, because an odd integer will result in an odd number when you add the two possibility of combinations together, for example:
B - 13/25 =
12 ($4 lobsters) = 12*4 = $48 + 13($5 lobsters) = 13 * $5 = 65$
$48+$65 = $113

Then test for A, using the same method above, results in $112, the correct answer
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Re: Fred goes to a seafood market to purchase lobsters  [#permalink]

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New post 28 Dec 2018, 11:01
This is a more complicated ratio problem which can be solved with the unknown multiplier technique.
We want to know how many lobsters bought were worth $5,-. (5x). This means the amount of lobsters bought that were worth $4,- are 25-x.

Set up the equation as follows:

5x + 4(25-x) = 112
x = 12

5*12 = 60

60/5 = 12.

Hence, 12 lobsters were bought that were worth 5 bucks.
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Re: Fred goes to a seafood market to purchase lobsters &nbs [#permalink] 28 Dec 2018, 11:01
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