Problem Solving In Ratio And Proportion

Problem Solving In Ratio And Proportion-59
2 - Equivalent ratios Equivalent ratios are ratios which all have the same meaning.For example : 1:4 , 2:8 , , 2000 All of these ratios have the same meaning: that the amount of variable 'b' is 4 times the amount of variable 'a'.You can calculate equivalent ratios by multiplying or dividing both sides by the same number.

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This is a bit of a tricky definition, so make sure to watch the tutorial! Sometimes the hardest part of a word problem is figuring out how to turn the words into an equation you can solve.

This tutorial let's you see the steps to take in order to turn a word problem involving a blueprint into a proportion.

You'll see how to use the scale from a blueprint of a house to help find the actual height of the house.

This tutorial shows you how to use a proportion to solve!

In order to do this you need to divide the total amount of money being shared by the total number of parts in the ratio: £200/ 5 = £40 Using this value, you can now calculate the share which each individual receives.

To do this, you individually multiply each number in the ratio by the amount you have calculated for one part: 2 x 40 = £80 3 x 40 = £120 Therefore, out of the total cash prize, Tom receives £80 and Stacy receives £120 (Note: You can check your answers are correct by adding up the individual shares.

The idea of proportions is that a ratio can be written in many ways and still be equal to the same value.

That's why proportions are actually equations with equal ratios. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement. Then think of some ratios you've encountered before!

This is because fractions and ratios share many fundamental properties.

Once you understand these properties, you can use ratios to solve various real-world problems.


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