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Jason has 4 gallons of hand sanitizer that contains 25% alcohol. He wants to make a hand sanitizer that contains 50% alcohol. How many gallons of pure alcohol should he add?

 Feb 17, 2021
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Jason has 4 gallons of hand sanitizer that contains 25% alcohol. He wants to make a hand sanitizer that contains 50% alcohol. How many gallons of pure alcohol should he add?

 

Hello Guest!

 

\(4\ gal\cdot 25\%+x=(4\ gal+x)\cdot 50\%\\ 4\ gal\cdot 0.25+x=4\ gal\cdot 0.5+x\cdot 0.5\\ 0.5x=4gal\cdot (0.5-0.25)\)

\(x=\dfrac{4\cdot 0.25}{0.5}gal\)

\(x=2\ gal\)

 

Jason should add 2 gallons of pure alcohol.

laugh  !

 Feb 17, 2021
edited by asinus  Feb 17, 2021

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