Answer:
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
[tex]46\%=46/100=0.46[/tex]
[tex]65\%=65/100=0.65[/tex]
[tex]5\%=5/100=0.05[/tex]
we know that
[tex]x+y=12[/tex] -----> equation A
[tex]0.65x+0.05y=0.46(12)[/tex] -----> 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
