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Avery's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 1515 teas in all, 66 of which were caffeinated. What percentage of the teas were caffeinated?\newlineWrite your answer using a percent sign (%).\newline___\_\_\_%

Full solution

Q. Avery's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 1515 teas in all, 66 of which were caffeinated. What percentage of the teas were caffeinated?\newlineWrite your answer using a percent sign (%).\newline___\_\_\_%
  1. Calculate Total Number: Calculate the total number of caffeinated teas and total teas served.\newlineReasoning: To find the percentage, we need the part (caffeinated teas) and the whole (total teas).\newlineCalculation: 66 caffeinated teas out of 1515 total teas.
  2. Use Percentage Formula: Use the percentage formula: (PartWhole)×100(\frac{\text{Part}}{\text{Whole}}) \times 100.\newlineReasoning: This formula gives the percentage of the part in relation to the whole.\newlineCalculation: (615)×100=40%(\frac{6}{15}) \times 100 = 40\%.

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