Subjects algebra

Money Ratio 6459A4

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Money Ratio 6459A4


1. **Stating the problem:** Kristian and Stephanie share money in the ratio 3:2. Kristian receives 72 dollars. We need to find how much Stephanie receives. 2. **Understanding the ratio:** The ratio 3:2 means for every 3 parts Kristian gets, Stephanie gets 2 parts. 3. **Total parts:** Add the parts of the ratio: $3 + 2 = 5$ parts in total. 4. **Value of one part:** Kristian's share corresponds to 3 parts, which equals 72 dollars. So, one part is calculated by dividing 72 by 3: $$\text{One part} = \frac{72}{3} = 24$$ 5. **Stephanie's share:** Stephanie has 2 parts, so multiply the value of one part by 2: $$\text{Stephanie's share} = 2 \times 24 = 48$$ 6. **Answer:** Stephanie receives 48 dollars. This method works because ratios represent proportional parts of a whole, and by finding the value of one part, we can determine any share in the ratio.