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 Math Central Quandaries & Queries
 Question from Kenneth: Hello: If two people share $\$600$in a ratio of 2 to 3, which calculations are correct: 2/3 X$\$600$ & 1/3 X $\$600$or 2/5 X$\$600$ & 3/5 X $\$600?$The denominator 5 is determined by adding 2 and 3 from the ratio. I thank you for your reply. Hi Kenneth, Imagine that you have the$\$600$ in one dollar bills and you are going to distribute them to the two people in the ratio of 2 to 3. Give the first person 2 bills and the second person 3 bills. What they have is in the ratio of 2 to 3. Now give the first person 2 more bills and the second person 3 more bills. What the have is still in the ratio of 2 to 3. Continue until all the bills are distributed. What you see is that you are organizing the bills into groups of five and for each group the first person gets 2 and the second person gets 3. Hence the first person gets $\frac25 \times \$600$an the second person gets$\frac35 \times \$600.$

Penny

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