We have been given that Lynn has a watering can that holds 32 cups of water,and she fills it a quarter full.
It means the watering can has [tex]32\times \frac{1}{4}= 8 \text{ cups of water}[/tex]
Now, she waters 17 plants and each plant gets the same amount of water. Let us suppose that each plant gets x cups of water.
Thus, we have
[tex]17x=8[/tex]
Divide both sides by 17, we get
[tex]x=\frac{8}{17} \\ \\ x=0.47059[/tex]
Therefore, each plant gets 0.47059 cups of water.