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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand

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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand  [#permalink]

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New post 13 Apr 2018, 01:41
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  25% (medium)

Question Stats:

74% (01:41) correct 26% (01:44) wrong based on 108 sessions

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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand Y cat foods. If Sergio’s cat eats only this mix of cat food and she consumes 103 grams of fat per day, what is the amount of Brand X cat food that she receives each day?

(1) Brand X cat food consists of 35 percent fat.
(2) Brand Y cat food consists of 11 percent fat.

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Re: Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand  [#permalink]

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New post 13 Apr 2018, 03:32
Bunuel wrote:
Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand Y cat foods. If Sergio’s cat eats only this mix of cat food and she consumes 103 grams of fat per day, what is the amount of Brand X cat food that she receives each day?

(1) Brand X cat food consists of 35 percent fat.
(2) Brand Y cat food consists of 11 percent fat.



x+y = 500

.35x + .11y = 103

substituting x+y = 500 we can find the values

(C) imo
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Re: Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand  [#permalink]

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New post 27 Apr 2018, 23:31
103/5=20.6 percent

Then using alligation method
11. 20.6 35

We can calculate ratio of brand X and Y and hence amount

So answer is C

give kudos if u find it useful..Posted from my mobile device

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Re: Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand  [#permalink]

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New post 26 Jun 2018, 06:29
This is a weighted average problem. The net percentage is known. To find the ratio, we need ratio of individual mixtures. For that to happen we will need ratio of individual mixtures. The answer has to be option C.
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Re: Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand &nbs [#permalink] 26 Jun 2018, 06:29
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