Answer:
The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8
Step-by-step explanation:
Let
x ---> ounces of the 18% solution
y ---> ounces of the 45% solution
we know that
The number of ounces of the 18% solution plus the number of ounces of the 45% solution must be equal to 12 ounces
so
----> equation A
The number of ounces of the 18% solution multiplied by 0.18 (percentage in decimal form) plus the number of ounces of the 45% solution multiplied by 0.45 (percentage in decimal form), must be equal to 12 ounces multiplied by 0.36 (percentage in decimal form)
so
-----> equation B
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (4,8)
see the attached figure
therefore
The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8
