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A pet shop owner currently has 3 goldfish for every 5 angelfish. If sh

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A pet shop owner currently has 3 goldfish for every 5 angelfish. If sh  [#permalink]

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New post 14 Feb 2018, 22:01
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E

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  25% (medium)

Question Stats:

83% (01:59) correct 18% (02:41) wrong based on 65 sessions

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A pet shop owner currently has 3 goldfish for every 5 angelfish. If she sells 60 goldfish and buys 300 angelfish, she will have 3 goldfish for every 7 angelfish. How many goldfish does she currently have?

A. 180
B. 306
C. 330
D. 660
E. 1100

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Re: A pet shop owner currently has 3 goldfish for every 5 angelfish. If sh  [#permalink]

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New post 14 Feb 2018, 23:58
Let the number of Goldfish (GF) be 3x; then the number of Angelfish (AF) is 5x. If she sells 60 GF and buys 300 AF she will have (3x-60) GF and (5x+300) AF. But then the ratio of GF to AF would be 3:7. That is:
(3x-60)/(5x+300)=3/7 or x=220. Thus, the number of GF that she now has is 220*3=660. Ans: D
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Re: A pet shop owner currently has 3 goldfish for every 5 angelfish. If sh  [#permalink]

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New post 20 Feb 2018, 16:16
Bunuel wrote:
A pet shop owner currently has 3 goldfish for every 5 angelfish. If she sells 60 goldfish and buys 300 angelfish, she will have 3 goldfish for every 7 angelfish. How many goldfish does she currently have?

A. 180
B. 306
C. 330
D. 660
E. 1100



We can let the number of goldfish and angelfish she currently has be 3x and 5x, respectively. Thus we have:

(3x - 60)/(5x + 300) = 3/7

7(3x - 60) = 3(5x + 300)

21x - 420 = 15x + 900

6x = 1320

x = 220

Thus she currently has 3(220) = 660 goldfish.

Answer: D
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Re: A pet shop owner currently has 3 goldfish for every 5 angelfish. If sh &nbs [#permalink] 20 Feb 2018, 16:16
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