i need help setting this up.
one solution containing 20 percent alcohol is mixed with another solution containing 60 percent alcohol to make 10 gallons of a solution that is 32 percent alcohol. How much of each solution is used?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions.

- anonymous

- jamiebookeater

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

So this is basically what you want to do:
0.32(10)= 0.2(x)+0.6(10-x)
Set it up and find what x equals, which is the amount of the 20 percent solution needed. Once you know that, you can find the 60% solution by subtracting the amount of the 20 percent solution by 10, or the total solution.
I hope this makes sense, do you understand??

- anonymous

yes it makes more sense then my set up. Thanks

- anonymous

What did you get for your answer? (I am studying this too and want to compare)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

x= 71/5 and y= -21/5

- anonymous

am i correct?

- anonymous

Let's think, does it make sense that one would be negative? I don't think so. So lets work through the equation and do what we can: 3.2=0.2x+6-0.6x
We can combine like terms and we get −2.8=-0.4x, or 2.8+0.4x
We know that 1/5 of x is 1.4, so x=7
x represents the number of gallons used in the 20% solution, so we can subtract 7 from 10 to get the number used in the 60% solution, to get 3.
I hope you understand! Anymore questions?

- anonymous

oh okay, i put a ten by the six on accident

- anonymous

Haha totally okay!

Looking for something else?

Not the answer you are looking for? Search for more explanations.