Subjects arithmetic

Sum Credits A73A68

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1. **Stating the problem:** We need to find the sum of all the credits listed in the recordings. 2. **Understanding the problem:** Each recording has a credit value. We want to add all these credit values together to get the total sum. 3. **Extracting the credit values:** The credits are mostly values like 4.75, 4.77, 4.79, 4.71, 4.73, 4.57, 4.80, 5.96, and 1.19. 4. **Summation:** We add all the credit values from each recording. 5. **Calculation:** Adding all the credits (counting each occurrence) gives the total sum. Since the list is very long and many values repeat, we count the frequency of each credit value and multiply by the value, then sum all. - Count of 4.75 credits: 38 - Count of 4.77 credits: 56 - Count of 4.79 credits: 38 - Count of 4.71 credits: 1 - Count of 4.73 credits: 2 - Count of 4.57 credits: 1 - Count of 4.80 credits: 1 - Count of 5.96 credits: 1 - Count of 1.19 credits: 2 6. **Sum calculation:** $$\text{Total} = 38 \times 4.75 + 56 \times 4.77 + 38 \times 4.79 + 1 \times 4.71 + 2 \times 4.73 + 1 \times 4.57 + 1 \times 4.80 + 1 \times 5.96 + 2 \times 1.19$$ 7. **Evaluating each term:** $$38 \times 4.75 = 180.5$$ $$56 \times 4.77 = 267.12$$ $$38 \times 4.79 = 182.02$$ $$1 \times 4.71 = 4.71$$ $$2 \times 4.73 = 9.46$$ $$1 \times 4.57 = 4.57$$ $$1 \times 4.80 = 4.80$$ $$1 \times 5.96 = 5.96$$ $$2 \times 1.19 = 2.38$$ 8. **Adding all:** $$180.5 + 267.12 + 182.02 + 4.71 + 9.46 + 4.57 + 4.80 + 5.96 + 2.38 = 661.52$$ **Final answer:** The sum of all credits is **661.52**.