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How much 45% disinfectant solution must be mixed with a 30% disinfectant solution to produce 20 gal of 39% solution?

Sep 1, 2020

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How much 45% disinfectant solution must be mixed with a 30% disinfectant solution to produce 20 gal of 39% solution?

Hello Guest!

$$\color{blue}x\cdot 45\%+(20-x)\cdot 30\%=20\cdot 39\%\\ x\cdot 45\%+20\cdot 30\%-x\cdot 30\%=20\cdot 39\%$$

$$45x+600-30x=780\\ 15x=180$$

$$x=12$$

12 gal 45% disinfectant solution must be mixed with 8 gal 30% disinfectant solution to produce 20 gal of 39% solution.

!

Sep 1, 2020