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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.
[tex]\frac{1 \text{ liter}}{1.2\text{ ounce}}=\frac{x}{1\text{ pound}}[/tex]
Now, we will convert our given units as:
1 pound = 16 ounces
1 liter = 0.264172 gallons
[tex]\frac{\text{0.264172 gallons}}{1.2\text{ ounce}}=\frac{x}{\text{ 16 ounce}}[/tex]
[tex]\frac{\text{0.264172 gallons}}{1.2\text{ ounce}}\times\text{ 16 ounce}=\frac{x}{\text{ 16 ounce}}\times\text{ 16 ounce}[/tex]
[tex]\frac{\text{4.226752 gallons}}{1.2}=x[/tex]
[tex]x=\frac{\text{4.226752 gallons}}{1.2}[/tex]
[tex]x=3.52229\text{ gallons}\approx 3.5\text{ gallons}[/tex]
Therefore, 3.5 gallons of seawater would contain 1 pound of salt.
Ratio tells the number of times a number contains another number. The nearest tenth of a gallon of water, that would contain 1 pound of salt is 13.3 gallons.
What is a Ratio?
A ratio shows us the number of times a number contains another number.
As it is given that the one gallon of water contains 1.2 oz of salt, therefore, the ratio of the water and salt can be written as,
[tex]\rm \dfrac{Salt}{Water}=\dfrac{1.2}{1}[/tex]
As we know that one pound is equal to 16 oz, therefore, we want to know the gallons of water that will have 16 oz of salt,
[tex]\rm \dfrac{16}{Water}=\dfrac{1.2}{1}\\\\Water=\dfrac{16}{1.2} = 13.3[/tex]
Hence, the nearest tenth of a gallon of water, that would contain 1 pound of salt is 13.3 gallons.
Learn more about Ratio:
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