Question 1156281

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50  -  x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.

How much of the 10% alcohol solution should Bruce use?

How much of the 15% alcohol solution should Bruce use?
<pre>0.10x + 0.15(50  -  x) = 0.12(50)
The given equation indicates that the 10% solution was named x
This means that the 15% solution is 50 - x,  as named
.1x + .15(50 - x) = .12(50)
.1x + 7.5 - .15x = 6
.1x - .15x = 6 - 7.5
- .05x = - 1.5
x, or amount of 10% solution to mix = {{{highlight_green(matrix(1,4, (- 1.5)/(- .05), "=", 30, mL))}}}
Now, can you find the amount of 15% solution to mix?