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Understanding Ratios: Divide Quantities Intelligently

Learn how to divide quantities into given ratios using practical examples and calculations. Discover the significance of ratios and how they compare the sizes of different quantities through real-life scenarios. Enhance your math skills and problem-solving abilities!

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Understanding Ratios: Divide Quantities Intelligently

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  1. Objective Be able to divide a quantity into a given ratio

  2. Ratio: What does this mean? Ratio is used to compare the sizes of two (or more) quantities. For example: a drink is made by mixing two parts orange juice with five parts water. This relationship of 2 to 5 can be written as the ratio 2:5. So the ratio of iron to copper is 60:40. We could simplify this to give 3:2 A steel alloy rod is made up of 60% iron and 40% copper.

  3. Dividing a quantity in to a ratio Divide 560kg in the ratio 3:4 Total parts 1 part parts parts 3 + 4 = 7 560  7 = 80 3 3 x 80 = 240kg 4 4 x 80 = 320kg Divide 560kg in the ratio 3:4 is 240kg:320kg

  4. Time to try some! £400 : £500 £75 : £125 £245 : £385 840kg : 1365kg 125h : 150h : 175h 125lbs : 200lbs : 225lbs • £900 into the ratio 4:5 • £200 into the ratio 3:5 • £630 into the ratio 7:11 • 2205kg into the ratio 8:13 • 450 hours into the ratio 5:6:7 • 550 lbs into the ratio 5:8:9

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