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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand 13 Apr 2018, 01:41
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C
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72% (01:35) correct 28% (01:45) wrong based on 353 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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C
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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand 13 Apr 2018, 03:32
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Bunuel
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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x+y = 500

.35x + .11y = 103

substituting x+y = 500 we can find the values

(C) imo
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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand 27 Apr 2018, 23:31
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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

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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand 26 Jun 2018, 06:29
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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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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand 18 Jul 2020, 08:40
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I would request an expert to help me on my thinking mentioned below for this question.

Using Logic: Fat content depends on the quantity of food so we need to have the quantity and fat content for any brand.
For example: Brand X can have less fat in 100 grams and Brand Y can have more fat in 100 grams or the vice versa.

Statement 1:
Does not tells the total quantity of which the Brand X contains 35% fat.

Statement 2:
Does not tells the total quantity of which the Brand Y contains 50% fat.

Combining the statement :
Both do not tell the total quantity of which they represent 35% and 50% fat for Brand X and Brand Y. So they are not sufficient.

Hence E.

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Each day, Sergio feeds his cat a 500-gram mixture of Brand X and Brand 08 Jan 2021, 22:24
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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.

A lot of these mixture problems are all about setting up the equations.

X + Y = 500

We also know that the percentage of fat in X and Y combined will give us a certain amount of fat in the mixture.

35/100X + 11/100Y = 103/500

Substitute one into the other and we get X.

Answer is C.
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