(a) The ratio of cows to chickens is expressed as the number of cows to the number of chickens. Since there are 8 cows for every 0 chickens, the ratio can be written as:
\[ \text{Ratio of cows to chickens} = 8:0 \]
However, a ratio with 0 in the denominator is not useful in typical mathematical terms.
(b) If there are 45 chickens on the farm, we can use the ratio of cows to chickens to determine the number of cows.
We know the ratio of cows to chickens is 8 to 0, but we're interested in how the number of cows scales when there are chickens on the farm.
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First, determine the ratio of cows to chickens in a more meaningful way, excluding the original incorrect ratio. Let’s establish a new ratio based on a relationship. If we take a base of 8 cows for each increment of chickens (considering chickens), let’s assume the cows to chickens ratio can be taken as \( \frac{8}{1} \) for one chicken.
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Now, if we have 45 chickens, we can calculate the number of cows:
\[ \text{Number of cows} = 8 \times \text{number of parts of chickens} = 8 \times 45 = 360 \]
Thus, if there are 45 chickens, there would be 360 cows based on a ratio of 8:1.
So, final answers are: (a) The ratio of cows to chickens is not defined meaningfully, but represents 8:0. (b) If there are 45 chickens, there would be 360 cows.
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