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Some money is shared between Ethan, James, and Mason in the ratio eight to 15 to four.
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If Ethan receives 104 Egyptian pounds, how much money do James and Mason each receive?
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We are told in the question that the three boys share the money in the ratio eight to 15 to four.
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We are also told that Ethan receives 104 Egyptian pounds.
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This is equivalent to eight parts of the ratio.
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We can therefore calculate the value of one part by dividing 104 by eight.
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One way of doing this is using the short division bus stop method.
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10 divided by eight is equal to one remainder two.
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24 divided by eight is equal to three.
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This means that 104 divided by eight is 13.
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One part of the ratio is equal to 13 Egyptian pounds.
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This means that we have multiplied Ethanâ€™s ratio eight by 13 to get 104.
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We need to multiply 15 by 13 and four by 13 to calculate the amount of money James and Mason each receive, respectively.
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15 multiplied by 10 is 150 and 15 multiplied by three is 45.
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This means that 15 multiplied by 13 is 195.
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Four multiplied by 13 is equal to 52.
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The ratio eight to 15 to four is equivalent to the ratio 104 to 195 to 52.
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We can therefore conclude that James receives 195 Egyptian pounds and Mason receives 52 Egyptian pounds.