Subjects arithmetic

Sum Percentages

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Sum Percentages


1. The problem is to add a list of numbers, some given directly and some as percentages of other values. 2. To solve this, we first convert all percentages to their decimal equivalents and multiply by the base values. 3. For example, 33% of 85.09 is calculated as $$0.33 \times 85.09 = 28.08$$. 4. Similarly, 30% of 20.00 is $$0.30 \times 20.00 = 6.6$$. 5. We replace all percentage expressions with their decimal results: - 28.08 (33% of 85.09) - 49.56 (33% of 150.17) - 49.57 (33% of 150.20) - 6.6 (30% of 20.00) - 28.44 (33% of 86.19) - 24.6 (33% of 20.00) - 28.75 (33% of 87.12) - 21.45 (33% of 65) - 6.6 (33% of 20) 6. Now, sum all the numbers: $$6.99 + 28.08 + 19.99 + 49.56 + 399.5 + 49.57 + 14.79 + 162.56 + 29.06 + 243.02 + 150.2 + 20.09 + 140 + 49.57 + 329.62 + 26.86 + 15.91 + 24.59 + 6.6 + 49.8 + 38.93 + 69.99 + 21.01 + 6.6 + 49.57 + 26.86 + 78.15 + 24.59 + 18.51 + 105 + 13.5 + 92.97 + 92.97 + 2.59 + 24.59 + 26.86 + 49.57 + 2.59 + 1178.73 + 61.17 + 66.27 + 13.68 + 73.45 + 8.6 + 0.01 + 0.01 + 26.86 + 6.6 + 24.59 + 24.6 + 265.55 + 2059 + 9 + 25.45 + 117.81 + 28.44 + 23.83 + 83.82 + 216.82 + 145.73 + 60.26 + 26.86 + 24.59 + 6.6 + 28.75 + 13.79 + 80.59 + 60.27 + 514.9 + 100.17 + 60.27 + 24.23 + 21.45 + 26.86 + 6.6 + 11.97$$ 7. Adding all these values gives the total sum: $$\approx 6153.92$$ Final answer: $$6153.92$$