Question 3175
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,
<br>
x=10-y
<br>
2x+4y=26
<br>
2(10-y)+4y=26
<br>
20-2y+4y=26
<br>
20+2y=26
<br>
2y=6
<br>
y=3
<br>
x=10-y=10-3=7
<br>
Thus: x=7,y=3
<P>
<b>3 dogs and 7 people</b>