Question

At the county fair, 250 visitors were surveyed about their favorite food. If 60 visitors prefer corn dogs, how many out of 600 visitors can be expected to prefer corn dogs?

a) 120
b) 150
c) 180
d) 200

Answer 1

To find out how many visitors out of 600 would prefer corn dogs, a proportional relation is set up based on the data of 60 out of 250 visitors preferring corn dogs. Solving the proportion gives us 144, which indicates that approximately 150 visitors out of 600 would prefer corn dogs (option b).

Step-by-step explanation:

The question is asking us to predict how many visitors out of 600 would prefer corn dogs, given the preference pattern observed in a smaller sample of 250 visitors. To find the answer, we use proportional reasoning or set up a simple ratio and cross-multiply to find the corresponding number.

Proportion: If 60 out of 250 visitors prefer corn dogs, then we can set up the following proportion to find out how many out of 600 visitors would prefer them:

60/250 = x/600

Cross-multiply to solve for x:

60 × 600 = 250 × x

36000 = 250x

Now divide both sides by 250:

x = 36000 / 250

x = 144

However, since 144 is not one of the provided options, we need to check our work or consider approximation. The closest option to 144 based on the choices given by the question is option b) 150. Therefore, approximately 150 visitors out of 600 can be expected to prefer corn dogs at the county fair.