Mr. Harris asked his students whether they prefer to build snowmen or have snowball fights after a big snowfall. This table shows some of the results.

Complete the table.
Build a snowman Have a snowball fight Total
Boys
23
Girls 26 11
Total
34 75
What percentage of girls prefer to have a snowball fight? Round your answer to the nearest tenth of a percent.

1 answer

To complete the table, we need to fill in the missing values step by step.

  1. The total number of girls who prefer to build a snowman can be found by subtracting the number of girls who prefer to have a snowball fight from the total number of girls:

    • Total girls = 26 (Build a snowman) + 11 (Have a snowball fight) = 37 girls.
  2. The total number of boys who prefer to build a snowman can be found by subtracting the total number of students who prefer to build a snowman from the total overall:

    • Total for building a snowman = 34 (from the table)
    • Total number of students = Total boys + Total girls = 75
    • Therefore, total boys who prefer to build a snowman = 34 (Total for building) - 26 (Girls) = 8 boys.

Now, the completed table looks like this:

| | Build a snowman | Have a snowball fight | Total | |----------------------|------------------|-----------------------|-------| | Boys | 8 | 23 | 31 | | Girls | 26 | 11 | 37 | | Total | 34 | 34 | 75|

  1. To find the percentage of girls who prefer to have a snowball fight:
    • The number of girls who prefer to have a snowball fight is 11.
    • The total number of girls is 37.
    • Calculation for percentage: \[ \text{Percentage} = \left( \frac{\text{Number of girls who prefer snowball fights}}{\text{Total number of girls}} \right) \times 100 = \left( \frac{11}{37} \right) \times 100 \]
    • Performing the division: \[ \frac{11}{37} \approx 0.2973 \]
    • Multiplying by 100 gives: \[ 0.2973 \times 100 \approx 29.73 \]
    • Rounding to the nearest tenth of a percent, we get: \[ 29.7% \]

Thus, the percentage of girls who prefer to have a snowball fight is 29.7%.