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During a class trip trip to a farm, you determined that there were 116 legs in the farmyard. The only two animals there were chickens and cows. if there were 46 animals, how many were chickens ( chickens have two legs, cows have four )

 Dec 2, 2014

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 #2
avatar+26397 
+5

During a class trip trip to a farm, you determined that there were 116 legs in the farmyard. The only two animals there were chickens and cows. if there were 46 animals, how many were chickens ( chickens have two legs, cows have four )

cows = x      and      chickens = y

          4 legs  * x  + 2*legs * y  = 116 legs | :2

(2)               ´2x  +              y   = 58

--------------------------------------------------------

(1)                  x   +              y   = 46

--------------------------------------------------------

(2)-(1):   2x - x    + y - y           = 58-46

                      x    +      0          = 12

                      x                        = 12

There are 12 cows

(1)                 x   +              y   = 46

                    12   +             y    = 46    |  -12

                                          y    = 46 - 12 = 34

There are 34 chickens

 Dec 3, 2014
 #1
avatar
+5

let the number of chickens be H (hens, okay?)

so the number of cows must be 46 - H

∴total number of legs = H*2 + ..........

 

can you finish this now?

 Dec 2, 2014
 #2
avatar+26397 
+5
Best Answer

During a class trip trip to a farm, you determined that there were 116 legs in the farmyard. The only two animals there were chickens and cows. if there were 46 animals, how many were chickens ( chickens have two legs, cows have four )

cows = x      and      chickens = y

          4 legs  * x  + 2*legs * y  = 116 legs | :2

(2)               ´2x  +              y   = 58

--------------------------------------------------------

(1)                  x   +              y   = 46

--------------------------------------------------------

(2)-(1):   2x - x    + y - y           = 58-46

                      x    +      0          = 12

                      x                        = 12

There are 12 cows

(1)                 x   +              y   = 46

                    12   +             y    = 46    |  -12

                                          y    = 46 - 12 = 34

There are 34 chickens

heureka Dec 3, 2014

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