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Example of proportion involving partitive

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the ratio of chickens to goats to pigs in a farm is 6:2:4,if there are 456 animals in the farm,how many goats are there?pigs?chickens?

6n:2n:4n=456                                      38x6=228
6n+2n+4n=456                                    38x2=76
12n=456                                              38x4=152
12  =12                                                     N=456    
=38

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