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Sharing in a ratio: Fill in the gaps
Silent Teacher Intelligent Practice Narration Your Turn 2 :3 Practice
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Worked Example Your Turn Jenny and Ben share £12 in the ratio 2 : 1 Jenny and Ben share £12 in the ratio 3 : 1 Jenny’s amount: Ben’s amount: Jenny gets ____ more Jenny gets ? ? of the whole Jenny’s amount: Ben’s amount: Jenny gets ____ more Jenny gets ? ? of the whole
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Jenny’s amount as a fraction of the whole
Q Ratio Jenny : Ben Amount to share Jenny’s amount Ben’s amount Jenny gets ? More/less Jenny’s amount as a fraction of the whole 1 3 : 2 £30 £18 £12 £6 more 18 30 = 3 5 £40 £24 £16 £8 more 24 40 = 3 5 4 £56 £32 £8 less 24 56 = 3 7 £8 £24 less 8 40 = 1 5 5 £35 £15 £20 £5 less 15 35 = 3 7 6 8 £33 £9 £15 less 9 33 = 3 11 7 £16.50 The same 8 16 = 1 2 ? ? = 2 3 9 £28 £12 less ? ? = 2 7 10 £15.75 £12.25 £3.50 more = 9 16
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Jenny’s fraction of the whole
Q Ratio Jenny : Ben Amount to share Jenny’s amount Ben’s amount Jenny gets ? More/less Jenny’s fraction of the whole 1 3 : 2 £30 £18 £12 £6 more 18 30 = 3 5 £40 £24 £16 £8 more 24 40 = 3 5 4 £56 £32 £8 less 24 56 = 3 7 £8 £24 less 8 40 = 1 5 5 £35 £15 £20 £5 less 15 35 = 3 7 6 8 £33 £9 £15 less 9 33 = 3 11 7 £16.50 The same 8 16 = 1 2 ? ? = 2 3 9 £28 ? ? = 2 7 10 £15.75 £12.25 £3.50 more = 9 16
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