SOLUTION: Divide 56 into two parts such that 3/8 of the larger number decreased by 6 equals 1/4 if the smaller number. The answers are 32 and 24 but how do get to them.

Question 708766: Divide 56 into two parts such that 3/8 of the larger number decreased by 6 equals 1/4 if the smaller number.
The answers are 32 and 24 but how do get to them.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Divide 56 into two parts such that 3/8 of the larger number decreased by 6 equals 1/4 if the smaller number.
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Equations:
x + y = 56
(3/8)x - 6 = (1/4)y
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Modify:
3x + 3y = 3*56
3x - 48 = 2y
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Rearrange:
3x + 3y = 3*56
3x - 2y = 48
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Subtract and solve for "y":
5y = 120
y = 24
----
Solve for "x":
x + y = 56
x + 24 = 56
x = 32
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Cheers,
Stan H.
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