Reasoning and answer: 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: 50
What was the question?
Question: 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?

Reasoning and answer: The combined cost of the bananas, bread, and milk was 12 + 9 + 7 = $28. The difference between this and the total is the cost of the apples, which must have therefore cost Olivia 42 28 = $14.
The answer: 14
What was the question?
Question: The total cost of Olivia's groceries was $42. The bananas cost her $12, the bread cost her $9, and the milk cost her $7. The only other groceries she bought were apples. In dollars, how much money did the apples cost her?

Reasoning and answer: Martha's car gets 20 / 2 = 10 miles per gallon. Total gallons Martha's car requires is 300 / 10 = 30 gallons.
The answer: 30
What was the question?
Question:
Darlene's car gets 20 miles/gallon. Martha's car gets half as many miles per gallon as Darlene's car. How many gallons does Martha's car require to make a 300-mile trip?