Subjects algebra

Lottery Division F3Edf8

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1. **State the problem:** We want to find out how much money each person would get if a jackpot of 7.3 billion dollars is divided equally among 320 million people. 2. **Formula used:** To divide a total amount among a number of people, use the quotient rule: $$\text{Amount per person} = \frac{\text{Total jackpot}}{\text{Number of people}}$$ 3. **Apply the numbers:** $$\frac{7.3 \text{ billion}}{320 \text{ million}} = \frac{7.3 \times 10^9}{320 \times 10^6}$$ 4. **Simplify the powers of ten:** $$= \frac{7.3}{320} \times \frac{10^9}{10^6} = \frac{7.3}{320} \times 10^{9-6} = \frac{7.3}{320} \times 10^3$$ 5. **Calculate the fraction:** $$\frac{7.3}{320} = 0.0228125$$ 6. **Multiply by $10^3$:** $$0.0228125 \times 10^3 = 22.8125$$ 7. **Round to the nearest cent:** $$22.8125 \approx 22.81$$ **Final answer:** Each person would win approximately **22.81** dollars.