SOLUTION: Donald,Kate and maggie win �2400 between them on the national lottery.Donald gets a share of �x,whilst kate gets twice as much as donald.maggies share is �232 less than donalds amo

Question 165503: Donald,Kate and maggie win �2400 between them on the national lottery.Donald gets a share of �x,whilst kate gets twice as much as donald.maggies share is �232 less than donalds amount.
write down the amount maggie and kate receive.
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
total amount = 2400 pounds (i think).
D gets x*2400
K gets 2*x*2400
M gets D - 232 = x*2400 - 232.
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x*2400 + 2*x*2400 + x*2400 - 232 = 2400 (equation 1)
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2400*x + 4800*x + 2400*x - 232 = 2400
9600*x - 232 = 2400
9600*x = 2400 + 232 = 2632
x = 2632 / 9600 = .274166667
2*x = .548333333
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substituting for x in equation 1 gets:
.274166667*2400 + 2*.274166667*2400 + .274166667*2400 - 232 = 2400
658 + 1316 + 658 - 232 = 2400
2400 = 2400.
answer is:
x = .274166667
donald gets 658
kate gets 1316
maggie gets 426

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