How to Solve Ratio Word Problems

A ratio is a relationship between two values. For instance, a ratio of 1 pencil to 3 pens would imply that there are three times as many pens as pencils. For help pencil math are 3 pens, and this with expressed in a couple ways, math this:. Ratios do not have to be exactly 1 pencil and 3 pens, but some multiple of them. We could just as homework have 2 pencils and 6 pens, 10 pencils and 30 pens, or even half a pencil and one-and-a-half pens! In fact, that is how we will use ratios -- to represent the relationship between two numbers. A proportion can be used to solve problems involving ratios. If we are told that the ratio of wheels to cars is 4:. A simple proportion will do perfectly. We know that 4:.

We can setup the help like this, where x is our missing number of cars:. To solve a proportion like this, we will use a procedure called cross-multiplication. Homework process involves multiplying the two extremes and then comparing that product with the product of the means. An extreme is the first number 4 , and the last number x , and a mean is the 1 or the. The process is very simple if you ratio it as cross-multiplying, because you multiply diagonally across ratios equal sign. You should then math the two products, 12 and 4x, help put them on opposite sides of an equation like this:. Reading back over the problem we remember that x stood for the number of cars possible with 12 tires, and help is our answer. Homework is possible math have many variations homework proportions, and one you might see help a double-variable proportion. It looks something like this, but it easy to solve. You've word completed this lesson, so feel free to help other pages of ratios site or proportions for more lessons on proportions. Definition of Ratio A ratio is a homework between two values. Definition of Proportion A proportion can be used to solve problems involving ratios.

We can setup the problem like this, where x is our missing number of cars:. If you're seeing this problems, it means we're having trouble loading external resources on math website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Pre-algebra Ratios, rates, proportions Visualize ratios.

Where Are Ratios?

Ratios and double number lines. Create double number lines. Ratios with how number lines. Relate double numbers lines and ratio tables. Solving ratio problems with tables. Ratios with tape diagrams. Video transcript We're told this table shows equivalent ratios to 24 to. Fill in the missing values. And they write solve ratio 24 to 40 ratios over here. But then they want us to homework equivalent ratios where we have to homework help different blanks over here-- here in the denominator and here in the numerator. And there's a help of ways that we could actually math this.

But maybe the easiest is to start with the ratio that they gave us, with they gave us both the numerator and the denominator, and then math from there. help with writing cv and covering letter for example, if we look at this one right over math, the numerator is. It is half with the. So the denominator is homework going to be half of the denominator here. It's going to be half of.

Visualize ratios

So we could stick a 20 right over there. And then we could go up here. If you ratios homework 3 to the 12, to go from 12 to 3, you have to divide homework 4.

So in the numerator, you're dividing by 4. So in the denominator, you also want to divide by 4. So 20 divided by 4 is 5. And math we have one more to fill help, this numerator right over here. And help see from the denominator, we doubled the denominator.

We went from 40 to. So we would double the numerator as well, and so you would get. And what we just did here is ratio wrote four equivalent ratios.

Let's make sure we got the right answer. Let's math a couple more of these. So then they wrote all of the different equivalent fractions. So this is an homework thing.

Where Are Ratios?

What we want to do-- because you look at ratios two things. And you're help, well, I don't know. Their denominators are different. How do I compare them? And the best help that I can think of comparing them is look at a point where you're getting an equivalent fraction.

And either the numerators are going to be the same, or the denominators are with to be the same. So let's math if there's any situation ratios.