Subjects algebra

Ratio Division 149C92

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Ratio Division 149C92


1. **State the problem:** A sum of 7200 is divided between A and B in the ratio 5:4. We need to find how much B gets. 2. **Formula and explanation:** When a total amount is divided in the ratio $m:n$, the parts are $\frac{m}{m+n}$ and $\frac{n}{m+n}$ of the total respectively. 3. **Apply the ratio:** Here, the ratio is 5:4, so total parts = $5 + 4 = 9$. 4. **Calculate B's share:** B's share = $\frac{4}{9} \times 7200$ 5. **Perform the multiplication:** $$\frac{4}{9} \times 7200 = 4 \times 800 = 3200$$ 6. **Conclusion:** B gets 3200 from the total sum.