In four years, Hans will be 8 + 4 = 12 years old. Then Annika will be 12 * 3 = 36 years old. So Annika right now is 36 - 4 = 32 years old.
The answer: 32
Reverse engineering the question: In four years, Annika will be three times as old as Hans. If Hans is now 8 years old, how old is Annika now?
Reasoning and answer: Jill made one and a half times as many coconut candles as almond candles, so she made 10 * 1 1 / 2 = 15 coconut candles. She made twice as many lavender candles as coconut candles, so she made 2 * 15 = 30 lavender candles.
The answer: 30
What was the question?
Question: Jill makes scented candles as a hobby. Her favorite scents are lavender, coconut, and almond, and she uses the same amount of each scent for every candle. This time, she made twice as many lavender candles as coconut candles, along with a batch of almond candles. She ran out of almond scent after making ten candles. If she had one and a half times as much coconut scent as almond scent and used all her coconut scent up too, how many lavender candles did she make?
If Natasha has $60, which is 3 times as much money as Carla, Carla has $60 / 3 = $20. Together, Carla and Natasha have $20 + $60 = $80. Carla has twice as much money as Cosima, meaning Cosima has $20 / 2 = $10. Combined, the three have $10 + $80 = $90. If they buy goods with the amount they have and sell at 7 / 5 of the buying price, the total amount of money they will get from selling the goods is 7 / 5 * 90 = $126. If they earn $126 from the sale of the goods they bought with the money they had, their profit is $126 - $90 = $36.
The answer: 36
Reverse engineering the question: Natasha has 3 times as much money as Carla, and Carla has twice as much money as Cosima. If Natasha has $60, and the three decide to buy goods worth the total amount they have and sell the goods at 7/5 of the buying price, how much profit would they make?
Reasoning and answer: Let x represent the number of homework points. Quiz:x + 5. Test:4(x + 5) = 4x + 20. Total:x + x + 5 + 4x + 20 = 265. 6x + 25 = 265. 6x = 240. x = 40 points.
The answer: 40
What was the question?
Question: Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter?
If there were 4000 whales in the sea three years ago, and their number doubled this year, then there are 2 * 4000 = 8000 whales in the sea this year. If the predictions come true, there will be 8000 + 800 = 8800 whales in the water next year.
The answer: 8800
Reverse engineering the question: The total number of whales in the sea this year is double what it was last year. If the World Animals Organization predicts that there will be 800 more whales in the sea next year, and the number of whales in the sea last year was 4000, calculate the total number of whales in the sea next year if the predictions are accurate.
There are 8 total dice because 4 plus 4 equals 8. There are 48 sides because 8 times six equals 48.
The answer: 48
Reverse engineering the question:
Tom and Tim both brought 4, six-sided dice to school. How many total sides are there?