Subjects algebra

Ratio Percent

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1. The problem states: "The ratio of twenty-seven and nine is equal to the thirty percent of ten."\n\n2. Let's translate the words into a mathematical statement.\n\n3. The ratio of twenty-seven and nine means \( \frac{27}{9} \).\n\n4. Thirty percent of ten means \( 30\% \times 10 = \frac{30}{100} \times 10 \).\n\n5. The equation is then:\n$$\frac{27}{9} = \frac{30}{100} \times 10$$\n\n6. Simplify both sides:\n\( \frac{27}{9} = 3 \) and \( \frac{30}{100} \times 10 = 3 \).\n\n7. So the mathematical statement is:\n$$3 = 3$$\n\nThis confirms the ratio equals thirty percent of ten.