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You poured some 8% alcohol solution and some 6% alcohol solution into a mixing container. Now you have 640 grams of 6.75% alcohol solution. How many grams of 8% solution and how many grams of 6% solution did you pour into the mixing container. Write and solve a system equation to answer the following questions.

 Feb 9, 2022
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Let the number of grams of 6% alcohol solution==S

Then, the number of grams of 8% alcohol solution ==640  -   S

 

0.06S  +  0.08 * [640  -  S] ==0.0675 * 640

0.06S  +   51.2  -  0.08 ==43.2

0.06S  -  0.08S  == 43.2  -  51.2

- 0.02S  ==  - 8

 

S ==8 / 0.02 ==400 grams 0f 6% alcohol solution

640  -  400 == 240 grams of 8% alcohol solution.

 Feb 9, 2022

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