Percentage of yellow leaves on a tree during Autumn = 40%
Percentage of green leaves on a tree during Autumn = 24%
Percentage of half yellow leaves on the tree during Autumn :
![= \tt100 - 40 + 24](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt100%20-%2040%20%2B%2024)
![= \tt 100 - 64](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20100%20-%2064)
Thus, the percentage of half yellow leaves on the tree during Autumn = 36%
Number of half yellow leaves on the tree = 36%
Let the total number of leaves on the tree be x.
Which means :
![= \tt36 \% \: of \: x = 72](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt36%20%5C%25%20%5C%3A%20of%20%5C%3A%20x%20%3D%2072)
![= \tt \frac{36}{100} \times x = 72](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%20%5Cfrac%7B36%7D%7B100%7D%20%20%5Ctimes%20x%20%3D%2072)
![= \tt \frac{36 \times x}{100} = 72](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%20%5Cfrac%7B36%20%5Ctimes%20x%7D%7B100%7D%20%20%3D%2072)
![= \tt \frac{36x}{100} = 72](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%20%5Cfrac%7B36x%7D%7B100%7D%20%20%3D%2072)
![= \tt 36x = 72 \times 100](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%2036x%20%3D%2072%20%5Ctimes%20100)
![= \tt36x = 7200](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt36x%20%3D%207200)
![= \tt x = \frac{7200}{36}](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20x%20%3D%20%20%5Cfrac%7B7200%7D%7B36%7D%20)
![\color{plum} = \tt \: x = 200](https://tex.z-dn.net/?f=%20%5Ccolor%7Bplum%7D%20%3D%20%20%5Ctt%20%5C%3A%20x%20%3D%20200)
Thus, total number of leaves on the tree = 200
Number of yellow leaves on the tree :
![= \tt40 \% \: \: of \: \: 200](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt40%20%5C%25%20%5C%3A%20%5C%3A%20%20of%20%5C%3A%20%5C%3A%20%20200)
![= \tt \frac{40}{100} \times 200](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%20%5Cfrac%7B40%7D%7B100%7D%20%20%5Ctimes%20200)
![= \tt \frac{40 \times 200}{100}](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%20%20%5Cfrac%7B40%20%5Ctimes%20200%7D%7B100%7D%20)
![= \tt \frac{8000}{100}](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%20%5Cfrac%7B8000%7D%7B100%7D%20)
![\color{plum} \tt = 80 \: yellow \: \: leaves](https://tex.z-dn.net/?f=%20%5Ccolor%7Bplum%7D%20%20%5Ctt%20%3D%2080%20%5C%3A%20yellow%20%5C%3A%20%20%5C%3A%20leaves)
Thus, total number of yellow leaves on the tree = 80
Number of green trees on the tree :
![= \tt24 \% \: \: of \: \: 200](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt24%20%5C%25%20%5C%3A%20%20%5C%3A%20of%20%5C%3A%20%20%5C%3A%20200)
![= \tt \frac{24}{100} \times 200](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%20%5Cfrac%7B24%7D%7B100%7D%20%5Ctimes%20200%20)
![= \tt \frac{24 \times 200}{100}](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%20%5Cfrac%7B24%20%5Ctimes%20200%7D%7B100%7D%20)
![= \tt \frac{4800}{100}](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%20%5Cfrac%7B4800%7D%7B100%7D%20)
![\color{plum} = \tt 48 \: green \: \: leaves](https://tex.z-dn.net/?f=%20%5Ccolor%7Bplum%7D%20%3D%20%5Ctt%2048%20%5C%3A%20green%20%5C%3A%20%20%5C%3A%20leaves)
Thus, the total number of green leaves on the tree = 48
Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.
▪︎Therefore, <em>the total number of leaves on the tree = 200</em>