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Share a quantity into a ratio The task of sharing into a ratio is a favourite question on the SAT and GCSE papers. A question, for example, might ask you.

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Presentation on theme: "Share a quantity into a ratio The task of sharing into a ratio is a favourite question on the SAT and GCSE papers. A question, for example, might ask you."— Presentation transcript:

1 Share a quantity into a ratio The task of sharing into a ratio is a favourite question on the SAT and GCSE papers. A question, for example, might ask you to share 32 into the ratio 3 : 5 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

2 Share 32 into the ratio 3 : 5, the three steps to follow are: ADD the ratio 3 + 5 = 8 DIVIDE this answer into the quantity to be shared 32 ÷ 8 = 4 MULTIPLY the ratio numbers by this answer 3 x 4 : 5 x 4 12 : 20 To do this type of problem, you follow these three steps + + ÷ ÷ x x © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

3 RatioQuantityShare 2 : 350 2 : 528 3 : 720 4 : 5360 1 : 2 : 532 + + ÷ ÷ Share these into the given ratio x x © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

4 Share these into the given ratio RatioQuantityShare 2 : 350 20 : 30 2 : 528 8 : 20 3 : 720 6 : 14 4 : 5360 160 : 200 1 : 2 : 532 4 : 8 : 20 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

5 Example – If the ratio of red beads black beads is 3 : 5, how many black beads will I need for 21 red beads? Red : Black 3 : 5 21 : ? Finding an unknown number in a ratio © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

6 Red : Black 3 : 5 21 : x 7 Find the number that you multiply 3 by to get 21. (21 ÷ 3 = 7) 3 x 7 = 21 Multiply 5 by 7 to find the missing number 35 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

7 Find the missing numbers for these ratios: 2:5 8: 3:20 12: 5:6 30: 7:5 21: © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

8 Answers in RED 2:5 8:20 3: 12:80 5:6 30:36 7:5 21:15 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

9 Ratio – A Problem 2 June, 2016 Fruity Mix is made from concentrated fruit juices and water. The ingredients are apricot juice, apple juice, pineapple juice and water in the ratio 2 : 3 : 7 : 28. a)How much of each ingredient is used to make 240 litres of Fruity Mix? b)If 24 litres of apple juice are used, how much of the other ingredients are needed? Here are a questions that show the two different types of ratio problem: © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

10 Fruity Mix is made from concentrated fruit juices and water. The ingredients are apricot juice, apple juice, pineapple juice and water in the ratio 2 : 3 : 7 : 28. a) How much of each ingredient is used to make 240 litres of Fruity Mix? Add the ratio 2 + 3 + 7 + 28 = 40 Divide into the quantity 240 ÷ 40 = 6 Multiply the ratio: 2 x 6 : 3 x 6 : 7 x 6 : 28 x 6 12 litres : 18 litres : 42 litres : 168 litres Apricot : Apple : Pineapple : Water © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.ukwww.brain-cells.co.uk

11 Fruity Mix is made from concentrated fruit juices and water. The ingredients are apricot juice, apple juice, pineapple juice and water in the ratio 2 : 3 : 7 : 28. b) If 24 litres of apple juice are used, how much of the other ingredients are needed? Apricot : Apple : Pineapple : Water 2 : 3 : 7 : 28 : 24 : : 24 ÷ 3 = 8 so 3 x 8 = 24 You multiply all the numbers by 8 1656 224

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