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# Fred goes to a seafood market to purchase lobsters

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Joined: 29 Aug 2012
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Fred goes to a seafood market to purchase lobsters  [#permalink]

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28 Jul 2014, 10:48
1
2
00:00

Difficulty:

5% (low)

Question Stats:

85% (01:34) correct 15% (01:57) wrong based on 132 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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28 Jul 2014, 11:34
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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. _________________ Manager Joined: 12 Apr 2017 Posts: 122 Location: United States Concentration: Finance, Operations GPA: 3.1 Fred goes to a seafood market to purchase lobsters [#permalink] ### Show Tags 27 Dec 2018, 10:56 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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28 Dec 2018, 12:01
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   [#permalink] 28 Dec 2018, 12:01
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