Q: 1/3 of the townspeople have received the full COVID vaccine. 1/3 are immune because they already recovered from COVID. If 1/6 of the townspeople are both vaccinated and already had COVID, what percent of the town is immune in some way?
A: First add the fractions of vaccinated and recovered townspeople: 1 / 3 + 1 / 3 = 2 / 3. Then you need to subtract the fraction that are both vaccinated and recovered, since they were double - counted. To do this, start by converting 2 / 3 to the same denominator as 1 / 6: 2 / 3 * 2 / 2 = 4 / 6. Then subtract 1 / 6 from 4 / 6: 4 / 6 - 1 / 6 = 3 / 6. Then divide the numerator by the denominator and multiply by 100% to express the answer as a percentage: 3 / 6 * 100% = 50%. The answer is 50.
Question: In the second hour of a storm it rains 7 inches more than twice the amount it rained the first hour. The total amount of rain in the first two hours is 22 inches. How much did it rain in the first hour?
Answer: Let x be the amount of rain in the first hour. It rained 2x + 7 inches in the second hour. x + 2x + 7 = 22. 3x + 7 = 22. 3x = 15. x = 5 inches. The answer is 5.
[Question]Tom and Elizabeth have a competition to climb a hill. Elizabeth takes 30 minutes to climb the hill. Tom takes four times as long as Elizabeth does to climb the hill. How many hours does it take Tom to climb up the hill?
[Answer]It takes Tom 30 * 4 = 120 minutes to climb the hill. It takes Tom 120 / 60 = 2 hours to climb the hill. The answer is 2.
Q: James hurts himself and decides to go to his primary care doctor. His primary care doctor charges $300 for the visit and James's insurance covers 80%. What is James's out-of-pocket cost?
A: The insurance covered 300 * .8 = $240. So he owed 300 - 240 = $60. The answer is 60.
Question: Janet starts driving across a lake in a speedboat going 30 miles per hour. Her sister follows in a sailboat that has a speed of 12 miles per hour. If the lake is 60 miles wide, how long does Janet have to wait on the other side for her sister to catch up?
Answer: First find how long it takes Janet to cross the lake: 60 miles / 30 miles / hour = 2 hours. Then find how long it takes her sister to cross the lake: 60 miles / 12 miles / hour = 5 hours. Then subtract Janet's travel time from her sister's travel time to find the difference: 5 hours - 2 hours = 3 hours. The answer is 3.
Q: A company has 200 employees. 60% of the employees drive to work. Of the employees who don't drive to work, half take public transportation. How many more employees drive to work than take public transportation?
A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Drive to work:200(.60) = 120. Don't Drive to work:200 - 120 = 80. Public Transportation:80(.50) = 40 employees. 80 - 40 = 40 employees. The answer is 40.