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A consumer analysis indicates that between $\frac{2}{3}$ and $\frac{4}{5}$ of $810$ visitors at the mall make purchases. Which of the following percentage of all visitors is the highest amount of possible visitors who do not make purchases at the mall?

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Multiply fractions: word problems

Full solution

Q. A consumer analysis indicates that between

\frac{2}{3}

and

\frac{4}{5}

of

810

visitors at the mall make purchases. Which of the following percentage of all visitors is the highest amount of possible visitors who do not make purchases at the mall?

Find Lowest Percentage: First, we need to find the lowest percentage of visitors who make purchases, as this will give us the highest percentage of visitors who do not make purchases. $\newline$ The range given is between $\frac{2}{3}$ and $\frac{4}{5}$ of the visitors. To find the lowest percentage of visitors who make purchases, we calculate the percentage for $\frac{2}{3}$ of the visitors. $\newline$ Percentage calculation: $(\frac{2}{3}) \times 100\%$
Calculate Purchases Percentage: Now, let's perform the calculation for the percentage of visitors who make purchases. $(\frac{2}{3}) \times 100\% = 66.67\%$
Find Highest Non-Purchasing Percentage: To find the highest percentage of visitors who do not make purchases, we subtract the lowest percentage of visitors who make purchases from $100\%$ .
Highest percentage of non-purchasing visitors = $100\% - 66.67\%$
Perform Subtraction: Perform the subtraction to find the highest percentage of visitors who do not make purchases. $100\% - 66.67\% = 33.33\%$

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