# How To Solve Ratio And Proportion Problems

We could go on and on; and while each of these appear to be different problems - dealing with money, time, and size - they are, at their core, the same. Let's break down ratios a little more and see how they can help us solve these types of problems. To keep it simple, we'll ignore the units (e.g., cost in dollars or weight in ounces) and focus just on the number part for a bit. For example, 1/2 is a ratio and 3/6 is also a ratio. We only know one of the two terms in the unknown ratio.If we write 1/2 = 3/6, we have written a proportion. In math, a ratio without a proportion is a little like peanut butter without jelly or bread. However, if we set them as a proportion, we can use that proportion to find the missing number.

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We are trying to get our unknown number, x, on the left side of the equation, all by itself.

Since x is multiplied by 20, we can use the "inverse" of multiplying, which is dividing, to get rid of the 20.

A proportion is a statement that allows you to find an unknown ratio from a known ratio. In the unknown ratio, you only know one of the numbers.

To solve for the unknown number, set up a proportion with the known ratio on one side and the unknown ratio on the other, cross multiply, and solve the resulting equation.

John has 30 marbles, 18 of which are red and 12 of which are blue.

## How To Solve Ratio And Proportion Problems Definition Of Critical Thinking In Nursing

Jane has 20 marbles, all of them either red or blue. This is another word problem that involves ratio or proportion.

From the grocery store, to forecasting into the future, to enlarging or shrinking pictures, a command of ratios can be a powerful math tool.

In this lesson, learn how to solve word problems with ratios in them. We can write ratios in one of three ways: Because we'll be using ratios mathematically, we'll use the format '/' for the rest of the lesson. However, when two ratios are set equal to each other, they are called a proportion. , since we know one term, but not the other (thus, it's not yet a comparison between two ratios).

Our known ratio is donated / spent, and the unknown ratio is

Jane has 20 marbles, all of them either red or blue. This is another word problem that involves ratio or proportion.

From the grocery store, to forecasting into the future, to enlarging or shrinking pictures, a command of ratios can be a powerful math tool.

In this lesson, learn how to solve word problems with ratios in them. We can write ratios in one of three ways: Because we'll be using ratios mathematically, we'll use the format '/' for the rest of the lesson. However, when two ratios are set equal to each other, they are called a proportion. , since we know one term, but not the other (thus, it's not yet a comparison between two ratios).

Our known ratio is \$3 donated / \$50 spent, and the unknown ratio is \$1,200 donated / ? The proportion would look like this: Now let's do the math. You can use this process to solve any ratio word problem.

3 * x = 50 * 1,2003x = 60,000x = 60,000 / 3x = \$20,000 Checking this, we get: 3 / 50 = 1,200 / 20,000 0.06 = 0.06 This checks out! The trickiest part is often identifying the known ratio and the unknown ratio.

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Jane has 20 marbles, all of them either red or blue. This is another word problem that involves ratio or proportion. From the grocery store, to forecasting into the future, to enlarging or shrinking pictures, a command of ratios can be a powerful math tool.In this lesson, learn how to solve word problems with ratios in them. We can write ratios in one of three ways: Because we'll be using ratios mathematically, we'll use the format '/' for the rest of the lesson. However, when two ratios are set equal to each other, they are called a proportion. , since we know one term, but not the other (thus, it's not yet a comparison between two ratios).Our known ratio is \$3 donated / \$50 spent, and the unknown ratio is \$1,200 donated / ? The proportion would look like this: Now let's do the math. You can use this process to solve any ratio word problem.3 * x = 50 * 1,2003x = 60,000x = 60,000 / 3x = \$20,000 Checking this, we get: 3 / 50 = 1,200 / 20,000 0.06 = 0.06 This checks out! The trickiest part is often identifying the known ratio and the unknown ratio.We can also use cross products to find a missing term in a proportion. In a horror movie featuring a giant beetle, the beetle appeared to be 50 feet long.However, a model was used for the beetle that was really only 20 inches long.For the last example, we would have: 1 * x = 2 * 31x = 6x = 6 / 1x = 6 To check the accuracy of our answer, simply divide the two sides of the equation and compare the decimal that results. Your team needs at least \$1,200 donated to be able to travel to a tournament.How much money needs to be spent at the store by people wearing soccer shirts?If the ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane? Example: A recipe uses 5 cups of flour for every 2 cups of sugar. As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more.

,200 donated / ? The proportion would look like this: Now let's do the math. You can use this process to solve any ratio word problem.

3 * x = 50 * 1,2003x = 60,000x = 60,000 / 3x = ,000 Checking this, we get: 3 / 50 = 1,200 / 20,000 0.06 = 0.06 This checks out! The trickiest part is often identifying the known ratio and the unknown ratio.