Poultry farm geese

Together, they keep 110 poultry (hens, turkeys, ducks, and geese) on the farm. Hens represent half. There are ten turkeys and seven ducks, more than geese. How many geese are kept on the farm?

Final Answer:

h =  19

Step-by-step explanation:

$$\begin{gathered} m=10 \\ s=110/2=55 \\ 110=s+m+k+h \\ k=7+h \\ 110=55+10+k+h \\ k=7+h \\ h+k=45 \\ h-k=-7 \\ Row2-Row1\to Row2 \\ -2k=-52 \\ k=\frac{-52}{-2}=26 \\ h=45-k=45-26=19 \\ h=19 \\ k=26 \end{gathered}$$

Try another example