Math Help - A mixture problem

1. A mixture problem

I know the answer to this but I have to make it into a linear equation and that I do not know how to do.

"Suppose two acid solutions are mixed. One is 26% acid and the other is 34% acid. Which one of the following concentrations cannot possibly be the concentration of the mixture? A: 36% B: 28% C: 30% D:31%"

Now I know the answer is A because you cannot have the mixture higher than the highest or lower than the lowest.

Where do I start?

2. Re: A mixture problem

Start by WRITING DOWN clear and concise defintions. What should you define? What does it want?

Well, if we were actually solving a problem, that would be a good way to go. This one is a thought question. Since you already did all the necessary thinking, you're done. What are you missing? The qeustion is answered.

3. Re: A mixture problem

The teacher is wanting some sort of linear equation I'm guessing that shows why this is so.... I can't think of a way to do it without using an inequality though.

4. Re: A mixture problem

Originally Posted by TKHunny

Well, if we were actually solving a problem, that would be a good way to go.
Solve the question or at least set up the equation: When you use x for one solution and y for one solution, then you set up the equation you should see something familiar.
( $Ax+By=C$)

5. Re: A mixture problem

Or (C-B)x + By = C

There are various ways to go about it.

Still, if someone is expecting for a linear equation or something of the sort, someone may wish to utilize the convention of actually asking for it.