Austin wants to make twelve gallons of 46% acid solution by mixing together 65% acid solution and a
5% acid solution. How much of each solution should he use?

Austin should use 8.2 gallons of 65% acid solution and 3.8 gallons 5% acid solution

Step-by-step explanation:

Let

x ----> the gallons of 65% acid solution needed

y ----> the gallons of 5% acid solution needed

Remember that

we know that

-----> equation A

-----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is (8.2,3.8)

therefore

Austin should use 8.2 gallons of 65% acid solution and 3.8 gallons 5% acid solution

answer: (-6,3)

step-by-step explanation: