Subjects algebra

Population Ratio 57515B

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1. **State the problem:** We want to find how many times more people live in New York City than in Baltimore given their populations. 2. **Given data:** - Population of New York City: $9 \times 10^6$ - Population of Baltimore: $6 \times 10^5$ 3. **Formula:** To find how many times more people live in New York City than Baltimore, divide the population of New York City by the population of Baltimore: $$\text{Times more} = \frac{\text{Population of NYC}}{\text{Population of Baltimore}}$$ 4. **Substitute values:** $$\frac{9 \times 10^6}{6 \times 10^5}$$ 5. **Simplify the fraction:** $$= \frac{\cancel{3} \times 3 \times 10^6}{\cancel{3} \times 2 \times 10^5} = \frac{3 \times 10^6}{2 \times 10^5}$$ 6. **Divide the powers of 10:** $$= \frac{3}{2} \times 10^{6-5} = \frac{3}{2} \times 10^1$$ 7. **Calculate the numerical value:** $$= 1.5 \times 10 = 15$$ **Final answer:** About 15 times more people live in New York City than in Baltimore.