SOLUTION: A sum of money was divided among John, Paul, and Robert in the ratio 2:4:5. Had the sum of money been divided equally among them. John's share would have been larger by $50. What w

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Question 1110374: A sum of money was divided among John, Paul, and Robert in the ratio 2:4:5. Had the sum of money been divided equally among them. John's share would have been larger by $50. What was the total sum of money?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +S+ = the total sum of money
When ratios are 2:4:5,
John's share: +%282%2F11%29%2AS+
Paul's share: +%284%2F11%29%2AS+
Robert's share: +%285%2F11%29%2AS+
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When ratio's are 1:1:1
The shares are +%281%2F3%29%2AS+ each
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+%281%2F3%29%2AS+=+%28+2%2F11+%29%2AS+%2B+50+
Multiply both sides by +33+
+11s+=+6s+%2B+1650+
+5S+=+1650+
+S+=+330+
The total sum is $330