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Avery's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served $15$ teas in all, $6$ of which were caffeinated. What percentage of the teas were caffeinated? $\newline$ Write your answer using a percent sign (%). $\newline$ $\_\_\_$ %

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Find what percent one number is of another: word problems

Full solution

Q. Avery's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served

15

teas in all,

6

of which were caffeinated. What percentage of the teas were caffeinated?

\newline

Write your answer using a percent sign (%).

\newline

\_\_\_

%

Calculate Total Number: Calculate the total number of caffeinated teas and total teas served. $\newline$ Reasoning: To find the percentage, we need the part (caffeinated teas) and the whole (total teas). $\newline$ Calculation: $6$ caffeinated teas out of $15$ total teas.
Use Percentage Formula: Use the percentage formula: $(\frac{\text{Part}}{\text{Whole}}) \times 100$ . $\newline$ Reasoning: This formula gives the percentage of the part in relation to the whole. $\newline$ Calculation: $(\frac{6}{15}) \times 100 = 40\%$ .

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