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Mutesi originally earned a salary of 560,000 Rwandan francs, but her salary was reduced according to a 3:7 ratio. This problem involves understanding ratio distribution where the original amount is divided into parts based on the 3:7 proportion, with Mutesi's new salary representing one part of this ratio division.

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To solve this problem, we need to understand ratio distribution. Mutesi's original salary of 560,000 Rwandan francs is divided according to a 3:7 ratio. This means the total ratio parts = 3 + 7 = 10. To find Mutesi's new salary (which represents one part of the reduction): We calculate the value of each part by dividing the original salary by the total ratio: 560,000 ÷ 10 = 56,000 per part. Since the new salary represents the reduction according to the 3:7 ratio, Mutesi's reduced salary would be 3 parts = 3 × 56,000 = 168,000 Rwandan francs. Alternatively, if calculating 7 parts: 7 × 56,000 = 392,000 Rwandan francs.

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