Question

Austin wants to make twelve gallons of 46% acid solution by mixing together 65% acid solution and a

Answer 1

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

$46\%=46/100=0.46$

$65\%=65/100=0.65$

$5\%=5/100=0.05$

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