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At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If

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At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If  [#permalink]

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New post 24 Oct 2018, 00:45
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Question Stats:

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At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If the total number of pigs, cows and chickens is 300, how many chickens are there?

A. 30
B. 90
C. 120
D. 180
E. 200

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Re: At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If  [#permalink]

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New post 24 Oct 2018, 00:51
7x:8x:10x and the total is 25x

25x = 300
5 * 5 x= 100 * 3

x = 12

we can do it also by backsolving

If we let chickens be 120 then

120 = 10x

x = 12

The total ratio is 25 so 25 * 12 = 300



Chickens = 10x = 10 * 12 = 120

Answer choice C

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Re: At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If  [#permalink]

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New post 24 Oct 2018, 08:00
Bunuel wrote:
At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If the total number of pigs, cows and chickens is 300, how many chickens are there?

A. 30
B. 90
C. 120
D. 180
E. 200

\(\frac{300}{(7+8+10)}*10 = 120\) ; Answer must be (C) 120
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Re: At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If  [#permalink]

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New post 28 Oct 2018, 17:19
Bunuel wrote:
At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If the total number of pigs, cows and chickens is 300, how many chickens are there?

A. 30
B. 90
C. 120
D. 180
E. 200


We can create the equation:

7x + 8x + 10x = 300

25x = 300

x = 12

So there are 10 x 12 = 120 chickens.

Answer: C
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Re: At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If &nbs [#permalink] 28 Oct 2018, 17:19
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