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Question

The ratio of the number of cows to buffaloes that Kondajijanna owns is 3 : 7. If he owns 28 buffaloes, what is the number of cows he has?

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Solution

Ratio of the number of cows to the number of buffaloes = 3:7=37
Number of buffaloes with Kondajianna = 28
Now, let the number of cows with Kondajianna be x.
∴ Ratio of the number of cows to the number of buffaloes = x:28=x28

Because the two ratios are the same, 37=x28.
Also, because the denominator of the second ratio is four times the denominator of the first ratio, x = 3 × 4 = 12.
Thus, the number of cows with Kondajianna is 12.

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