I used an area diagram to solve it. So firstly, I drew two rectangles to make the diagram, and at the very bottom, I wrote 8 which represents the heads. On the side of the small rectangle I wrote 2 (2 feet for hen) and on the side of the big rectangle I wrote 4 ( 4 feet for sheep). First I did 2 times 8 which equals 16. Then I did 4-2=2. After I subtracted 16 from 22 meaning the space left in the area diagram should be 6. So I divided 6 by 2 which is 3. Now, we know that there are 3 sheep. 8-3=5 so there are 5 hens. To check, we can see how much heads and feet the 3 sheep and 5 hens have in total. 3 sheep have 3 heads 5 hens have 5 heads. That makes 8 heads. Then 3 sheep have 12 legs, and 5 hens have 10 feet, in total there are 22 feet so we know that the answer 5 hens is correct.
Solution
Heads and Feet Rihito
Problem / game
First name
Rihito
School
St Andrews International School, Sukhumvit 107
Country
Age
10