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County
Percentage


A

9.8%


B

8.8%


C

7.8%


D

5.2%


E

17.3%


F

4.7%


G

?


H

4.7%




The table partially summarizes the percent of residents in different counties who participate in performing arts at least once a month. The percentages have a range of 
12.9%. What could be the percentage of county 
G residents who participate in performing arts at least once a month?

\begin{tabular}{cr} \newlineCounty & Percentage \\\newline\hline A & 9.8% 9.8 \% \\\newlineB & 8.8% 8.8 \% \\\newlineC & 7.8% 7.8 \% \\\newlineD & 5.2% 5.2 \% \\\newlineE & 17.3% 17.3 \% \\\newlineF & 4.7% 4.7 \% \\\newlineG & ? ? \\\newlineH & 4.7% 4.7 \% \newline\end{tabular}\newlineThe table partially summarizes the percent of residents in different counties who participate in performing arts at least once a month. The percentages have a range of 12.9% 12.9 \% . What could be the percentage of county G \mathrm{G} residents who participate in performing arts at least once a month?

Full solution

Q. \begin{tabular}{cr} \newlineCounty & Percentage \\\newline\hline A & 9.8% 9.8 \% \\\newlineB & 8.8% 8.8 \% \\\newlineC & 7.8% 7.8 \% \\\newlineD & 5.2% 5.2 \% \\\newlineE & 17.3% 17.3 \% \\\newlineF & 4.7% 4.7 \% \\\newlineG & ? ? \\\newlineH & 4.7% 4.7 \% \newline\end{tabular}\newlineThe table partially summarizes the percent of residents in different counties who participate in performing arts at least once a month. The percentages have a range of 12.9% 12.9 \% . What could be the percentage of county G \mathrm{G} residents who participate in performing arts at least once a month?
  1. Identify Range: question_prompt: What could be the percentage of county G residents who participate in performing arts at least once a month?
  2. Find Highest Percentage: To find the percentage for county GG, we need to identify the highest and lowest percentages from the table and use the given range.
  3. Find Lowest Percentage: The highest percentage given is for county E, which is 17.3%17.3\%.
  4. Calculate Range: The lowest percentage is for county F, which is 4.7%4.7\%.
  5. Calculate Correct Range: Calculate the range by subtracting the lowest percentage from the highest percentage: 17.3%4.7%17.3\% - 4.7\%.
  6. Calculate Correct Range: Calculate the range by subtracting the lowest percentage from the highest percentage: 17.3%4.7%17.3\% - 4.7\%. The calculation gives us 17.3%4.7%=12.6%17.3\% - 4.7\% = 12.6\%, but the problem states that the range is 12.9%12.9\%. This is a mistake because we should have used the correct range given in the problem.