Question:A father leaves a legacy of £5500 to be divided between his three daughters, Ann, Beryl and Caroline in the ratios 2:4:5. Find how much each receives.
Answer First Method If legacy is divided so that Ann receives 2 equal parts, Beryl 4 equal parts and Caroline 5 equal parts, the total must be divided into (2+4+5) equal parts, or 11 equal parts: `1/11` of £5500=£500. Ann receives `2xx£500=£1000` . Beryl receives `4xx£500=£2000` . Caroline Receives `5xx£500=£2500` .Second method Suppose that Ann receives £2k, Beryl £4k and Caroline £5k. Then 2k+4k+5k=5500. =>11k=5500 or k=500. Ann receives £1000, Beryl £2000 and Caroline £2500.
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A father leaves a legacy of £5500 to be divided between his three daughters, Ann, Beryl and Caroline in the ratios 2:4:5. Find how much each receives.