# How To Solve Ratio And Proportion Problems

Your friends and family will need to spend \$20,000 at the store. Once you've done that, make sure you are careful with tracking your calculations accurately, and you should have no trouble with these kinds of problems.

Ratios are found all around us every day and are simply a comparison between two numbers (e.g., red jellybeans to yellow jellybeans).

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.

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.

Anyone can earn credit-by-exam regardless of age or education level.

Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation.

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

However, a model was used for the beetle that was really only 20 inches long.

Anyone can earn credit-by-exam regardless of age or education level.

Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation.

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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However, a model was used for the beetle that was really only 20 inches long.Anyone can earn credit-by-exam regardless of age or education level.Solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation.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.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?This method works every single time, so long as you have identified the known and unknown ratios correctly. We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities.You can test out of the first two years of college and save thousands off your degree.A proportion is simply a statement that two ratios are equal.It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d.

,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.

## Comments How To Solve Ratio And Proportion Problems

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