Question

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?

Answer 1

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

Explanation:

Let

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

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

Remember that

`46\%=46/100=0.46`

`65\%=65/100=0.65`

`5\%=5/100=0.05`

we know that

`x+y=12` -----> equation A

`0.65x+0.05y=0.46(12)` -----> 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