SOLUTION: Mike and Dan bought a foot long sub sandwich and decided that it would be fair for Dan to have a third more of the sandwich than Mike. Ho�

Question 889395: Mike and Dan bought a foot long sub sandwich and decided that it would be fair for Dan to have a third more of the sandwich than Mike. Ho�
Found 2 solutions by stanbon, JulietG:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mike and Dan bought a foot long sub sandwich and decided that it would be fair for Dan to have a third more of the sandwich than Mike.
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Let Mike have "x":
Then Dan must have "(4/3)x"
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Equation:
x + (4/3)x = 12 inches
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(7/3)x = 12
x = (3/7)12 = 36/7 = 5 1/7 inches (Mike's share)
(4/3)x = (4/3)(36/7) = 48/7 == 6 6/7 inches (Dan's share)
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Cheers,
Stan H.
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Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
M + D = 1
D = 1.33 M
Substitute the value of D from the second equation into the first.
M + D = 1
M + (1.33M) = 1
2.33M = 1
Divide each side by 2.33
1 / 2.33 = ~ 0.43
Dan gets 57% of the sub and Mike gets 43%
For a 12" sub, that's 6.84" for Dan and 5.16" for Mike. (Approximately due to rounding.)

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