Question

When asked at a local ski resort, it was determined that 5 out of 8 people would rather go snowboarding instead of skiing. Using the given ratio, answer the following questions: On Thursday, 80 people were asked about which they preferred. How many chose snowboarding? How many people chose skiing if 16,000 people were asked of their preference?

Answer 1

To find the number of people who chose snowboarding out of 80 people asked, we can set up a proportion using the given ratio of 5 out of 8 people. By cross-multiplying and solving for x, we find that 50 people chose snowboarding. To find the number of people who chose skiing out of 16,000 people, we can set up a similar proportion and find that 10,000 people chose skiing.

Step-by-step explanation:

To find the number of people who chose snowboarding, we need to use the given ratio of 5 out of 8 people. So, out of the 80 people asked on Thursday, we can calculate how many chose snowboarding by setting up a proportion:

5/8 = x/80

Cross-multiplying, we get 8x = 5 * 80

Dividing both sides by 8, we find that x = 50. Therefore, 50 people chose snowboarding.

To find the number of people who chose skiing if 16,000 people were asked, we can again set up a proportion using the given ratio:

5/8 = x/16000

Cross-multiplying, we get 8x = 5 * 16000

Dividing both sides by 8, we find that x = 10,000. Therefore, 10,000 people chose skiing.