Question

a group of people are surveyed about whether they prefer to bike or run to exercise, and whether they prefer summer or winter weather. the results are in the table.

	bike	run
winter		98

what value could go in the blank cell so that the percentage of people who like to bike and also prefer winter weather is 10%? round percents to the nearest tenth.
type your answer in the box.

Explanation:

Step1: Define variables

Let \( x = \text{blank cell (bike + winter)} \). Total people: \( 108 + 212 + x + 98 = 418 + x \).

Step2: Set up percentage equation

Percentage of bike + winter = \( \frac{x}{418 + x} = 0.10 \).

Step3: Solve for \( x \)

\( x = 0.10(418 + x) \)
\( x = 41.8 + 0.10x \)
\( 0.90x = 41.8 \)
\( x = \frac{41.8}{0.90} \approx 46.4 \)

Answer:

46.4