SOLUTION: The sum of two numbers is 15/4. If 1/3 of the larger number is 1/2 more than 2/3 of the smaller, find the numbers

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Question 394939: The sum of two numbers is 15/4. If 1/3 of the larger number is 1/2 more than 2/3 of the smaller, find the numbers
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 15/4. If 1/3 of the larger number is 1/2 more than 2/3 of the smaller, find the numbers
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Equations:
x + y = 15/4
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(1/3)x=(2/3)y+(1/2)
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Rearrange:
x+y = 15/4
2x =4y+3
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Substitute for "x" and solve for "y":
2(15/4 - y) = 4y+3
(15/2) - 2y = 4y+3
6y = 4.5
y = 3/4
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Solve for "x":
x+y = 15/4
x + (3/4) = 15/4
x = 3
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Cheers,
Stan H.