a ski resort surveyed some skiers and snowboarders who were visiting the resort. the ski resort asked…
a ski resort surveyed some skiers and snowboarders who were visiting the resort. the ski resort asked whether they are planning to buy season passes next year. this table shows some of the results of the survey. complete the table. what percentage of skiers plan to buy season passes next year? round your answer to the nearest tenth of a percent.
Answer
Explanation:
Step1: Find number of snowboarders who plan to buy
Since total snowboarders is 29 and those who don't plan to buy is 16, then number of snowboarders who plan to buy is $29 - 16=13$.
Step2: Find total number of people who plan to buy
Total number of people surveyed is 65 and those who don't plan to buy is 42, so total number of people who plan to buy is $65 - 42 = 23$.
Step3: Find number of skiers who don't plan to buy
Total number of people who don't plan to buy is 42 and number of snow - boarders who don't plan to buy is 16, so number of skiers who don't plan to buy is $42-16 = 26$.
Step4: Find total number of skiers
Number of skiers who plan to buy is 10 and those who don't plan to buy is 26, so total number of skiers is $10 + 26=36$.
Step5: Calculate percentage of skiers who plan to buy
The formula for percentage is $\text{Percentage}=\frac{\text{Number of skiers who plan to buy}}{\text{Total number of skiers}}\times100%$. So $\text{Percentage}=\frac{10}{36}\times100%\approx27.8%$.
The completed table:
| Plan to buy a season pass | Do not plan to buy a season pass | Total | |
|---|---|---|---|
| Skiers | 10 | 26 | 36 |
| Snowboarder | 13 | 16 | 29 |
| Total | 23 | 42 | 65 |
Answer:
The percentage of skiers who plan to buy season passes next year is $27.8%$.