Question

When asked at a local ski resort, it was determined that five out of eight 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?

a) 30
b) 40
c) 50
d) 60

Answer 1

Using the given ratio of 5:8 for snowboarding to skiing preference, and proportional scaling to the total of 80 people, it is determined that 50 people chose snowboarding.

Step-by-step explanation:

To find out how many people chose snowboarding out of 80 at the local ski resort, we first need to understand the ratio given. The ratio of people who prefer snowboarding to those who prefer skiing is 5:8.

We then calculate the total number of people favoring each activity, proportional to the total of 80 people asked:

1. Determine the total parts represented by the ratio, which is 5 for snowboarding plus 3 for skiing, giving us 8 parts in total.
2. Each part then represents 80/8 = 10 people.
3. Since 5 parts prefer snowboarding, we multiply 5 by 10 to get the number of people who prefer snowboarding: 5 parts x 10 people per part = 50 people.

Therefore, the number of people who chose snowboarding is 50.