Stephen & Richard share a lottery win of £2950 in the ratio 2 : 3. Stephen then shares his part between himself, his wife & their son in the ratio 3 : 5 : 2. How much more does his wife get over their son?
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Answer:
Share got to Stephen's wife= £ 885
Share got to Stephen's son= £ 354
Step-by-step explanation:
3 : 2 :: 3x : 2x
3x + 2x = 2,950
=> 5x = 2,950
=> x = 2,950/5
=> x = 590
Share of Stephen = 3x = 1,770
Share of Richard = 2x = 1,180
3 : 5 : 2 :: 3a : 5a : 2a
=> 3a + 5a + 2a = 1,770
=> 10a = 1,770
=> a = 1,770/10
=> a = 177
Share got to Stephen = 3a = 531
Share git to Stephen's wife = 5a = 885
Share got to Stephen's son = 2a = 354
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