Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
By solving a system of equations, we will see that the scientist needs to use:
- 1.444 liters of the 12% solution.
- 3.956 liters of the 30% solution.
How to find the system of equations?
First, we need to define the variables, we will use:
- x = liters of the 12% solution used.
- y = liters of the 30% solution used.
We know that the scientist needs 5.4 liters, then we will have that:
x + y = 5.4
We also know that the end concentration for these 5.4 liters must be 28%, then the concentration in the left side must be the same as the one in the right side, this gives the equation:
0.12*x + 0.30*y = 0.28*(5.4)
0.12*x + 0.30*y = 1.512
Then the system of equations is:
x + y = 5.4
0.12*x + 0.30*y = 1.512
To solve it, we first need to isolate one of the variables in one of the equations, I will isolate x in the first one.
x = 5.4 - y
Now we can replace this in the other equation to get:
0.12*(5.4 - y) + 0.30*y = 1.512
0.81 - 0.12*y + 0.30*y = 1.512
(0.30 - 0.12)*y = 1.512 - 0.81
0.18*y = 0.712
y = (0.712)/0.18 = 3.956
And to find the value of x, we use:
x = 5.4 - y = 5.4 - 3.956 = 1.444
So the scientist needs to use:
- 1.444 liters of the 12% solution.
- 3.956 liters of the 30% solution.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.