A survey stopped men and women at random to ask them where they purchased groceries, at a local grocery store or online.

Grocery Options
Gender Store Online Total
Women 23 13 36
Men 20 20 40
Total 43 33 76

What percent of the people surveyed shop at a local grocery store? Round your answer to the nearest whole number percent.

1 answer

To find the percentage of people surveyed who shop at a local grocery store, we can use the following steps:

  1. Determine the total number of people surveyed who shop at a local grocery store.
  2. Calculate the total number of people surveyed.
  3. Use these two values to find the percentage.

From the data provided:

  • Total number of people who shop at a grocery store:

    • Women: 23
    • Men: 20
    • Total: \( 23 + 20 = 43 \)
  • Total number of people surveyed:

    • \( 76 \)

Now, we can calculate the percentage of people who shop at a local grocery store:

\[ \text{Percentage} = \left( \frac{\text{Number of people shopping at grocery store}}{\text{Total number of people surveyed}} \right) \times 100 \]

Substituting the numbers into the formula:

\[ \text{Percentage} = \left( \frac{43}{76} \right) \times 100 \]

Calculating this:

\[ \frac{43}{76} \approx 0.5671 \]

Now multiply by 100 to convert to a percentage:

\[ 0.5671 \times 100 \approx 56.71 \]

Rounding to the nearest whole number, we get:

\[ \text{Percentage} \approx 57% \]

Therefore, the percentage of people surveyed who shop at a local grocery store is 57%.