There is 1 cow for every 12 chickens and 2 pigs for every 5 chickens. Which ratio represents pigs to cows?

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Multiple Choice

There is 1 cow for every 12 chickens and 2 pigs for every 5 chickens. Which ratio represents pigs to cows?

Explanation:
The concept is about comparing two quantities that are given relative to the same item (chickens) and then expressing the two other quantities in a common base. Use a common number of chickens to compare. If we take 60 chickens (the least common multiple of 12 and 5), we get: - cows: 60 chickens with 1 cow per 12 chickens gives 60/12 = 5 cows - pigs: 60 chickens with 2 pigs per 5 chickens gives 60/5 = 12 groups of 2 pigs, which is 12×2 = 24 pigs So the ratio of pigs to cows is 24 to 5, written as 24/5.

The concept is about comparing two quantities that are given relative to the same item (chickens) and then expressing the two other quantities in a common base.

Use a common number of chickens to compare. If we take 60 chickens (the least common multiple of 12 and 5), we get:

  • cows: 60 chickens with 1 cow per 12 chickens gives 60/12 = 5 cows

  • pigs: 60 chickens with 2 pigs per 5 chickens gives 60/5 = 12 groups of 2 pigs, which is 12×2 = 24 pigs

So the ratio of pigs to cows is 24 to 5, written as 24/5.

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