Answer:
3.5 gallons of sea water.
Step-by-step explanation:
Let x represent gallons of seawater.
We have been given that seawater contains approximately 1.2 ounces of salt per liter on average.
To find the number of gallons of seawater that would contain 1 pound of salt, we will use proportions.
![\frac{1 \text{ liter}}{1.2\text{ ounce}}=\frac{x}{1\text{ pound}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%5Ctext%7B%20liter%7D%7D%7B1.2%5Ctext%7B%20ounce%7D%7D%3D%5Cfrac%7Bx%7D%7B1%5Ctext%7B%20pound%7D%7D)
Now, we will convert our given units as:
1 pound = 16 ounces
1 liter = 0.264172 gallons
![\frac{\text{0.264172 gallons}}{1.2\text{ ounce}}=\frac{x}{\text{ 16 ounce}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B0.264172%20gallons%7D%7D%7B1.2%5Ctext%7B%20ounce%7D%7D%3D%5Cfrac%7Bx%7D%7B%5Ctext%7B%2016%20ounce%7D%7D)
![\frac{\text{0.264172 gallons}}{1.2\text{ ounce}}\times\text{ 16 ounce}=\frac{x}{\text{ 16 ounce}}\times\text{ 16 ounce}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B0.264172%20gallons%7D%7D%7B1.2%5Ctext%7B%20ounce%7D%7D%5Ctimes%5Ctext%7B%2016%20ounce%7D%3D%5Cfrac%7Bx%7D%7B%5Ctext%7B%2016%20ounce%7D%7D%5Ctimes%5Ctext%7B%2016%20ounce%7D)
![\frac{\text{4.226752 gallons}}{1.2}=x](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7B4.226752%20gallons%7D%7D%7B1.2%7D%3Dx)
![x=\frac{\text{4.226752 gallons}}{1.2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5Ctext%7B4.226752%20gallons%7D%7D%7B1.2%7D)
![x=3.52229\text{ gallons}\approx 3.5\text{ gallons}](https://tex.z-dn.net/?f=x%3D3.52229%5Ctext%7B%20gallons%7D%5Capprox%203.5%5Ctext%7B%20gallons%7D)
Therefore, 3.5 gallons of seawater would contain 1 pound of salt.