Currently, Kate has only 1 / 3 * 30 = $10. That means Kate needs 30 - 10 = $20 more to buy the pen.
The answer: 20
Reverse engineering the question: Kate wants to buy a special pen as a gift for her friend. The pen costs $30, and Kate only has money for a third of that amount. How much more money does she need to buy the pen?


Reasoning and answer: Let x be the number of birds on the fence. We know that 10 + 2 * x = 50. Subtracting 10 from both sides, we get 2 * x = 50 - 10 = 40. Dividing both sides by 2, we get x = 20.
The answer: 20
What was the question?
Question: Ten more than twice the number of birds on the fence is 50. How many birds are on the fence?


Kyro owes Fernanda half of what Aryan owes Fernanda, a total of 1 / 2 * $1200 = $600. Aryan pays 60% of her dept, which equals 60 / 100 * 1200 = $720. If Fernanda adds the amount she's been paid by Aryan to her savings account, it increases to $300 + $720 = $1020. Kyro also pays her debt by 80 / 100 * $600 = $480. When Fernanda adds the amount she's been paid by Kyro to her savings account, the total amount of money in the savings account increases to $1020 + $480 = $1500.
The answer: 1500
Reverse engineering the question: Aryan owes Fernanda $1200, which is twice what Kyro owes Fernanda. Aryan decides to pay 60% of her debt to Fernanda, and Kyro pays Fernanda 80% of her dept. If Fernanda had $300 in her savings account and adds the money she's been paid by her debtors to the savings account, calculate the total amount of money in her savings account now.


Reasoning and answer: The bigger sail will make the trip in 4 hours because 200 / 50 = 4. The smaller sail will make the trip in 10 hours because 200 / 20 = 10. The bigger sail will be 6 hours faster because 10 - 4 = 6.
The answer: 6
What was the question?
Question: Danny is bringing his sailboat out to the ocean. When he uses his 24 square foot sail he goes 50 MPH. When he uses his 12 square foot sail he goes 20 MPH. He plans to travel 200 miles. How many hours faster is the bigger sail than the smaller one?


He now buys 4 / 2 = 2 coffees. The new price is 2 * .5 = $1 more than the old price. So he now pays 2 + 1 = $3 per coffee. So he spends 3 * 2 = $6. He used to spend 4 * 2 = $8. So he saves 8 - 6 = $2 per day.
The answer: 2
Reverse engineering the question: John used to buy 4 coffees a day for $2 each. They raised the price by 50% so he cut the number of coffees he drinks in half. How much money does he save per day compared to what he used to spend?


4.5 gallons = 4.5 * 8 pints = 36 pints. 36 / 18 = 2 pints. Genevieve drank 2 * 3 = 6 pints of coffee.
The answer: 6
Reverse engineering the question:

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.
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4.5 gallons of coffee were divided among 18 thermoses. Genevieve drank 3 thermoses. How many pints of coffee did Genevieve drink?