john wants to make 100 ml of a 5% alchohol solution by mixing a 2% alchohol solution with a 7% alchohol solution. wirte a system and solve to find how many ml of each solution will he need

Alcohol has addictive qualities and is a harmful, psychoactive drug. Alcoholic drinks are a common aspect of the social environment for many people in many modern nations. This is especially true for those who frequent highly visible, globally influential social settings where drinking often goes hand in hand with socialising. It is simple to ignore or minimise the harm that drinking does to one's health and society under this situation.

Let x and y be the quantities of the 2% and 7% alcohol solutions to be used to make 100ml of 5%, here we get the equation as,

[tex]x+y=100\\y=100-x[/tex]

Now, we can solve the problem to determine how many solutions there are:

[tex]2x+7y=5*100\\2x+7(100-x)=500\\-5x=-200\\x=40\\y=100-x\\y=100-40\\y=60[/tex]

We will need 40ml of 2% alcohol and 60ml of 7% alcohol to generate a solution of 100ml of 5% alcohol.

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