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# algebra problem

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How many liters of a 40% acid solution should be mixed with 8 liters of a 25% acid solution to obtain a solution that is 30% acid?

Sep 20, 2020

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How many liters of a 40% acid solution should be mixed with 8 liters of a 25% acid solution to obtain a solution that is 30% acid?

Hello Guest!

$$x\cdot 40\%+ 8\cdot 25\%=(x+8)\cdot 30\%$$

$$0.4x+0,25\cdot 8=0.3x+0.3\cdot 8\\ 0.1x=2.4-2\\0.1x=0.4$$

$$x=4$$

4 liters of a 40% acid solution should be mixed with 8 liters of a 25% acid solution to obtain a solution that is 30% acid?

!

Sep 20, 2020