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On the farm, rather than use money, they exchange animals. The exchanges are as follows: 4 bunnies = 3 chickens, 5 chickens = 2 pigs, 3 pigs = 2 donkeys. How many bunnies would you have to trade for a donkey?

 Jan 23, 2020
 #1
avatar+122 
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To calculate this you'll just need to multiply each of the exchange rates. So bunnies are worth 0.75 chickens (3/4), chickens are worth 0.4 pigs and pigs are worth 0.67 donkeys. 

Multiply all of these > 0.75*0.4*0.67=0.2

Since we now know a bunniesis worth 0.2 donkeys we then need (1/0.2=5) 5 bunnies to trade for a donkey.

 

Please type if you need more clarification.

 Jan 23, 2020
 #2
avatar+24364 
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On the farm, rather than use money, they exchange animals.
The exchanges are as follows: 4 bunnies = 3 chickens, 5 chickens = 2 pigs, 3 pigs = 2 donkeys.
How many bunnies would you have to trade for a donkey?

 

\(\begin{array}{|rcll|} \hline && \dfrac{4 ~\text{bunnies} }{3 ~\text{chickens} }\times \dfrac{5 ~\text{chickens} }{2 ~\text{pigs} }\times \dfrac{3 ~\text{pigs} }{2 ~\text{donkeys} } \\\\ &=& \dfrac{4\times 5\times 3}{3\times 2 \times 2} \dfrac{\text{bunnies} } {\text{donkeys} } \\\\ &=& 5\dfrac{\text{bunnies} } {\text{donkeys} } \\ \hline \end{array}\)

 

5 bunnies   = 1 donkey

 

laugh

 Jan 23, 2020

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