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Matt wants to make a 25% alcohol solution. He has already poured 1.5 qt. of pure water into a beaker. How many qt. of a 30% alcohol solution must he add to this to create the desired mixture?

Sep 24, 2020

#1
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Matt wants to make a 25% alcohol solution. He has already poured 1.5 qt. of pure water into a beaker. How many qt. of a 30% alcohol solution must he add to this to create the desired mixture?

Hello Guest!

$$x\cdot 30\%=(1.5qt.+x)\cdot 25\%\\ x\cdot 30\%=1.5qt.\cdot 25\%+x\cdot 25\%\\ 0.3x-0.25x=0.25\cdot 1.5qt.\\ 0.05x=0.375qt.$$

$$x=7.5qt.$$

$$7.5qt.$$ of a 30% alcohol solution must he add to this to create the desired mixture.

!

Sep 24, 2020