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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 to share 32 into the ratio 3 : 5 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk Share 32 into the ratio 3 : the three steps to follow are: 5, ADD the ratio 3 + 5 = 8 To do this type DIVIDE answer of this problem, youinto the quantityfollow to be these shared 32 ÷ 8 = 4 three steps MULTIPLY the ratio numbers by this answer 3x4:5x4 12 : 20 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk + ÷ x Share these into the given ratio Ratio 2:3 2:5 3:7 4:5 1:2:5 + ÷ Quantity 50 28 20 360 32 x Share © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk Share these into the given ratio Ratio 2:3 2:5 3:7 4:5 1:2:5 Quantity 50 28 20 360 32 Share 20 : 30 8 : 20 6 : 14 160 : 200 4 : 8 : 20 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk Finding an unknown number in a ratio 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 : ? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk Find the number that you multiply 3 by to get 21. (21 ÷ 3 = 7) 3 x 7 = 21 Red : Black x 7 3:5 21 :35 x7 Multiply 5 by 7 to find the missing number © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk Find the missing numbers for these ratios: 2 : 8 : 5 3 : 20 12 : 5 : 30 : 7 : 21 : 6 5 © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk Answers in RED 2 : 5 8 : 20 3 : 20 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.uk Ratio – A Problem 24 May, 2017 Here are a questions that show the two different types of ratio problem: 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? © Brain-Cells: E.Resources Ltd. All Rights Reserved 24/11/09 www.brain-cells.co.uk 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: 2x6: 3x6 :7x6 : 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.uk 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 16 : 24 : 56 : 224 24 ÷ 3 = 8 so 3 x 8 = 24 You multiply all the numbers by 8