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A certain pet store sells only dogs and cats. In March, the
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24 May 2017, 01:44
24 May 2017, 01:44
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A certain pet store sells only dogs and cats. In March, the store sold twice as many dogs as cats. In April, the store sold twice the number of dogs that it sold in March, and three times the number of cats that it sold in March. If the total number of pets the store sold in March and April combined was 500, how many dogs did the store sell in March?
A) 80
B) 100
C) 120
D) 160
E) 180
Re: A certain pet store sells only dogs and cats. In March, the
[#permalink]
10 Oct 2017, 09:03
10 Oct 2017, 09:03
1
So, in March the store has sold twice as dogs as cats, i.e. D = 2C and C cats.
In April, the store has sold double the dogs of March, i.e. 2D = 4C and triple of cats as in March, 3C.
Now we know that the sum of all sold animals is 500 = 2C + C + 4C + 3C = 10C. Thus, C = 50 and thus the number of dogs sold in March is equal to 2C = 2*50 = 100. Answer B
In April, the store has sold double the dogs of March, i.e. 2D = 4C and triple of cats as in March, 3C.
Now we know that the sum of all sold animals is 500 = 2C + C + 4C + 3C = 10C. Thus, C = 50 and thus the number of dogs sold in March is equal to 2C = 2*50 = 100. Answer B
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Re: A certain pet store sells only dogs and cats. In March, the
[#permalink]
28 May 2018, 18:25
28 May 2018, 18:25
1
Expert Reply
Carcass wrote:
A certain pet store sells only dogs and cats. In March, the store sold twice as many dogs as cats. In April, the store sold twice the number of dogs that it sold in March, and three times the number of cats that it sold in March. If the total number of pets the store sold in March and April combined was 500, how many dogs
did the store sell in March?
A) 80
B) 100
C) 120
D) 160
E) 180
We can let the number of cats sold in March = c and the number of dogs sold in March = 2c
Thus the number of dogs sold in April = 4c and the number of cats sold in April = 3c.
We can now create the equation:
c + 2c + 4c + 3c = 500
10c = 500
c = 50
Thus, 2c = 100 dogs were sold in March.
Answer: B
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Re: A certain pet store sells only dogs and cats. In March, the
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29 Oct 2021, 01:07
29 Oct 2021, 01:07
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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