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.
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.
