Calculate salary allocation based on pie chart angle measurements

Question

A teacher earns a monthly salary of 43,000 Rwandan francs which is allocated across different expense categories: Food consuming 216 degrees, Rent consuming 54 degrees, Clothing consuming 36 degrees, and Other expenses consuming 54 degrees of the full pie chart. The pie chart shows how this monthly income is distributed among various spending needs.

Answer 1

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To solve this pie chart salary allocation problem, we need to calculate the proportion of salary for each expense category based on the degrees. Since a complete circle is 360 degrees, we calculate: Food allocation = (216/360) × 43,000 = 0.6 × 43,000 = 25,800 Rwandan francs. Rent allocation = (54/360) × 43,000 = 0.15 × 43,000 = 6,450 Rwandan francs. Clothing allocation = (36/360) × 43,000 = 0.1 × 43,000 = 4,300 Rwandan francs. Other expenses allocation = (54/360) × 43,000 = 0.15 × 43,000 = 6,450 Rwandan francs. Total: 25,800 + 6,450 + 4,300 + 6,450 = 43,000 Rwandan francs.