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A farmer owns a total of 19 ducks and horses. The ducks and horses have 64 legs altogether. How many horses are there?

 Feb 19, 2017
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A farmer owns a total of 19 ducks and horses. The ducks and horses have 64 legs altogether. How many horses are there?

 

\(x \ ducks\)

\(19-x \ horses\)

 

\(2x+4(19-x)=64\)  calculate

\(2x+76-4x=64\)     sort them

\(4x-2x=76-64\)     calculate

\(2x=12\)                       divide by 2

\(x=6\ ducks\)

 

\(19-x =19-6 =13 \ horses\)

 

\(2\times 6+4\times13=64\)

 

laugh !

 Feb 19, 2017
edited by asinus  Feb 19, 2017

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