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As Anne has 150 more than Betty, 1/3 of Anne has 50 more than 1/3 of Betty.

As 5/8 of Betty has (191-150 =41) more than 1/3 of Anne, 

5/8 of Betty has 41 more than 1/3 of Betty plus 50.

That is to say 5/8 of Betty has (41 + 50 = 91) more than 1/3 of Betty.

5/8-1/3 = 7/24

Therefore, 7/24 of Betty = 91. 

Betty = 312

Anne = 312 + 150 = 462

Total = 462 + 312 = 774

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