Chapter 10 Ratio.

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Presentation transcript:

Chapter 10 Ratio

Learning Objectives Find equivalent ratios Simplify ratios Sharing a quantity in a ratio Direct proportion

Ratio Ratio is a way of dividing things up Example Give the ratio of sweets to chocolates to sweets

Equivalent Ratio You must multiply all terms by the same number Examples Find 3 equivalent ratios to 3:4 The ratio of boys to girls in a school is 3:4. If there are 72 boys: (a) how many girls are there? (b) how many pupils are there in the school in total?

Simplifying Ratio Divide each term by the biggest number that goes into all terms evenly Example Simplify: (a) 15:9 (b) 6:12:24 (c) 2cm:50mm (d) 3cm2:75cm2

Sharing in a Given Ratio Add up all the parts of the ratio to give the total parts Divide the quantity by the total number of parts to give what 1 part is worth Multiply by the number of parts in each term Examples 1. Divide £57.75 in the ratio 5:6

More Ratio Examples 2. A box contains red, green and brown buttons in the ratio 1:2:5. There are 104 buttons in the box. How many are there of each colour?

Proportion Always find what 1 is worth Examples 4 cakes cost £1.20. How much would 6 cakes cost? These are the ingredients for 12 rock cakes. How much of each ingredient would you need for 20 rock cakes? 240g flour 75g margarine 125g sugar 150g fruit ¼ teaspoon spice