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A tank holds 100 gallons of a thoroughly mixed solution which is 50% alcohol. Twenty-five gallons are drained from the tank and replaced with a solution that is 20% alchohol. The solution in the tank is thoroughly mixed. This procedure is repeated 2 more times. What percentage of the final solution is alcohol? Express your answer to the nearest whole number. Please help me and explain <3 ◕‿‿◕

 Jun 16, 2021

Best Answer 

 #2
avatar+505 
+3

In 100 gallons, alcohol = 50%

 

25 gallons is replaced with 20% alcohol

So, resulting sol \(=(75×{50\over 100})+(25×{20\over 100})\)

                          \(=37.5+5\)

                          \(=42.5\)% alcohol

 

The process is done again,

Resultant sol \(=(75×{42.5\over 100})+(25×{20\over 100})\)

                      \(=31.875+5\)

                      \(=36.875\)% alcohol

 

After the process is repeated again,

Resultant sol \(=(75×{36.875\over 100})+(25×{20\over 100})\)

                     \(=27.65625+5\)

                      \(=32.65625\) \(=33\)% alcohol

 

∴The final solution has 33% alcohol 

 Jun 17, 2021
 #1
avatar
-1

The percentage of the final solution which is alcohol is 28.

 Jun 16, 2021
 #2
avatar+505 
+3
Best Answer

In 100 gallons, alcohol = 50%

 

25 gallons is replaced with 20% alcohol

So, resulting sol \(=(75×{50\over 100})+(25×{20\over 100})\)

                          \(=37.5+5\)

                          \(=42.5\)% alcohol

 

The process is done again,

Resultant sol \(=(75×{42.5\over 100})+(25×{20\over 100})\)

                      \(=31.875+5\)

                      \(=36.875\)% alcohol

 

After the process is repeated again,

Resultant sol \(=(75×{36.875\over 100})+(25×{20\over 100})\)

                     \(=27.65625+5\)

                      \(=32.65625\) \(=33\)% alcohol

 

∴The final solution has 33% alcohol 

amygdaleon305 Jun 17, 2021
 #3
avatar
+1

thanks! correct!

Guest Jun 17, 2021
 #4
avatar+120930 
+1

Very nice  , amy   !!!!

 

cool cool cool

CPhill  Jun 17, 2021
 #5
avatar+505 
0

Thanks!! laugh

amygdaleon305  Jun 18, 2021

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