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A farmer wants to exchange his cows for chickens. One of his neighbours will give him three sheep for two cows, another will give him four goats for one sheep, and a third will give him two chickens for three goats. How many chickens can he get if he has 300 cows?

Ask by Ross Klein. in Canada
Mar 13,2025

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The farmer can get 1,200 chickens.

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Mind Expander

Let’s break it down step by step! The farmer starts with 300 cows. First, he can trade those cows for sheep: with the first neighbor, the exchange rate is 2 cows for 3 sheep. So, for 300 cows, he can get (300/2) * 3 = 450 sheep. Now, with those 450 sheep, he can trade for goats with the second neighbor at a rate of 1 sheep for 4 goats. Thus, he’ll get 450 * 4 = 1800 goats. Finally, the last neighbor trades 3 goats for 2 chickens. Therefore, 1800 goats will yield (1800/3) * 2 = 1200 chickens. So, at the end of the day, the farmer can get **1200 chickens** from his 300 cows! 🐄➡️🐑➡️🐐➡️🐔 What a trading adventure!

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