What is a ratio combination? how do you combine a ratio?

So, the combining ratio scenario–what we're talking about in this lesson–occurs when we're given two or more separate ratios within a larger group. Say, in a group with Type 1, Type 2, and Type 3, we might be given one ratio for Type 1 to Type 2, and a whole other ratio for Type 2 to Type 3.

Step-by-step explanation:

Strategy Number One: Equivalent Fractions for Each Ratio

So if we wanna understand what’s going on in the whole group, we’d somehow have to combine those ratios. We have two basic strategies for approaching such questions. One strategy would be to find equivalent fractions for each ratio so that the common term comes to be represented by the same number in both ratios.

So if we have one ratio from Type 1 to Type 2, and another ratio from Type 2 to Type 3, we’d wanna find equivalent expressions for both ratios so the type 2 number is the same in both ratios. And that would allow us to put it together in one big ratio, Type 1 to Type 2 to Type 3. We’ll have some examples of this in this video.

Strategy Number Two: Individual Values

The other strategy–and this is especially true if we have to find individual values–is individual quantities. How many people in Type 1 were in Type 3, something like that.

Then it’s much more advantageous to use what I was calling the algebraic approach–where we actually represent the different terms into fractions. If we’re given for example, three-sevenths, we represent that as 3 over n and 7 over n, that sort of thing

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

hiking down a winding trail.

step-by-step explanation: