SOLUTION: mary was given 1/4 of a sum of money. the remaining money was shared between alice and cody in the ratio 4 : 5. what fraction of the sum of money did cody receive? Give your answer

Question 1033805: mary was given 1/4 of a sum of money. the remaining money was shared between alice and cody in the ratio 4 : 5. what fraction of the sum of money did cody receive? Give your answer in the simplest form
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
mary was given 1/4 of a sum of money. the remaining money was shared between alice and cody in the ratio 4 : 5. what fraction of the sum of money did cody receive? Give your answer in the simplest form
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Let the "sum of money" be "S".
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Start::
Mary has S/4
Alice and Cody have (3/4)S
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Equation:
4x + 5x = (3/4)S
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9x = (3/4)S
x = (1/12)S
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Alice has 4x = 4(1/12)S = (1/3)S
Cody has 5x = 5(1/12)S = (5/12)S
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Cheers,
Stan H.
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