On a farm, there are 8 cows for every 9 chickens.

(a) Write the ratio of cows to chickens.

(b) If there are chickens on the farm, how many cows are there?

1 answer

(a) The ratio of cows to chickens is 8:9.

(b) Let's say there are \( x \) chickens on the farm. Given the ratio of cows to chickens is 8:9, we can use the ratio to find the number of cows.

Using the ratio, we set up the proportion: \[ \frac{\text{cows}}{\text{chickens}} = \frac{8}{9} \]

If there are \( x \) chickens, then the number of cows can be found using: \[ \text{cows} = \frac{8}{9} \times x \]

So, if there are \( x \) chickens, the number of cows is \( \frac{8}{9}x \).

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