SOLUTION: in the park, Doyen saw people and dogs. Altogether he counted 10 heads and 26 legs. How many dogs and people did he see?

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Question 3175: in the park, Doyen saw people and dogs. Altogether he counted 10 heads and 26 legs. How many dogs and people did he see?
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
no of people=x
no of dofs=y
no of heads=(x+y)
no of legs=(2x+4y)
substituting given values,
x+y=10 --- [1]
2x+4y=26 --[2]
solving simueltanously,


x=10-y


2x+4y=26


2(10-y)+4y=26


20-2y+4y=26


20+2y=26


2y=6


y=3


x=10-y=10-3=7


Thus: x=7,y=3


3 dogs and 7 people