# Problem Solving With Ratios This means that, for every 2 units of height, there must be 3 units of width.Consequently, if the piece of fabric was extended to be 20m high, it must be 30m wide. For example, if the piece fabric was made 80mm high, its width must be of the same unit of measurement and retain the rules of the ratio 2:3.

You can calculate equivalent ratios by multiplying or dividing both sides by the same number.

In this way, ratios are very similar to fractions: (a) - The ratio of boys to girls is The highest common factor of 21 and 18 is 3 If you divide both sides by 3, the equivalent ratio is 7: 6 Therefore, the simplest form of this ratio is 7:6, meaning that there are 7 boys in the classroom for every 6 girls.

You can do this by adding up the number values in the ratio to get a total. This means that you need to share the money into 5 equal parts.

Now you need to calculate the amount which one part will receive.

The following proportion is read as "twenty is to twenty-five as four is to five." In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion.

To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

The specific questions you will be expected to answer will vary depending upon which examination board with which you are registered, but as a rule you will be required to: 1 - Dividing in a ratio Without realizing, you use ratios every day in order to divide and share out amounts fairly.

As a result, there will be questions within your GCSE maths exam where you will be required to use ratios in order to share out amounts of money or other items: (a) - Firstly, you need to find the total number of parts in the 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.

## Comments Problem Solving With Ratios

• ###### Ratio Word Problems solutions, examples, videos

Ratio Word Problems relating different things using ratios and algebra, how to solve ratio word problems that have two-term ratios or three-term ratios, examples.…

• ###### Ratio Maths Problems with Solutions and Explanations for.

Ratio word problems with solutions and detailed explanations for grade 9. Rewrite the equation in standard form, factor and solve. L 2 - 40 L + 300 = 0…

• ###### How to Solve Ratio Word Problems - Video & Lesson.

Sep 1, 2017. We see ratios all around us every day. From the grocery store, to forecasting into the future, to enlarging or shrinking pictures, a command of.…

• ###### The Best Ways To Work Out Ratio Problems With Diagrams

To solve this question, you must first identify the ratio. This is a three-part ratio, whereby 100g flour300ml milk2 large eggs = 102. Next you need to work.…

• ###### Partwhole ratio word problem video Khan Academy

In a language class, the girl to boy ratio is 5 to 8. So for every 5 girls, we have 8 boys. If there are a total of 65 students, how many girls are there? So this is.…

• ###### Word Problems Ratios - Varsity Tutors

Usually, a ratio is a comparison of two numbers as a fraction a/b, whereas a rate is a comparison. Some ratio word problems require you to solve a proportion.…