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
summer
108
212
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%?

Answer 1

Answer:

10.8

Step-by-step explanation:

Answer 2

The value that can possibly fill the blank is 46

Let the number of people who like to bike, and prefer winter be x.

So, the proportion that a person likes to bike, and prefers winter is represented as:

$\mathbf{Pr =\frac{x}{x+108+212+98} }$

This proportion is given as 10%.

$\mathbf{\frac{x}{x+108+212+98} = 10\%}$

$\mathbf{\frac{x}{x+418} = 10\%}$

Express 10% as decimal

$\mathbf{\frac{x}{x+418} = 0.1}$

Cross multiply

$\mathbf{x=0.1x+41.8}$

Collect like terms

$\mathbf{x-0.1x=41.8}$

$\mathbf{0.9x=41.8}$

Divide both sides by 0.9

$\mathbf{x=46}$

Hence, the value that can possibly fill the blank is 46

Read more about proportions at:

https://brainly.com/question/21126582