Question: There were 10000 spectators at a basketball match. 7000 of them were men. Of the remaining spectators, there were 5 times as many children as women. How many children were there?
Answer: Step-by-step reasoning process: There were 10000 - 7000 = 3000 women and children. There were 3000 ÷ (5 + 1) = 500 women. There are 500 × 5 = 2500 children at the basketball match.
So the answer is 2500.

Question: Corey downloaded two movie series from his Netflix account with 12 and 14 seasons per series, respectively. However, in the week, his computer got a mechanical failure, and he lost two episodes from each season for both series. If each season in the movie series that Corey downloaded had 16 episodes, how many episodes remained after the computer's mechanical failure?
Answer: Step-by-step reasoning process: In the first movie series with 12 seasons, after the mechanical failure, the number of episodes that Corey lost is 2 * 12 = 24. Originally, the movie series with 12 seasons had 12 * 16 = 192 episodes. After the mechanical failure, Corey had 192 - 24 = 168 episodes remaining in the first movie series. Similarly, the 14 season movie series also had 14 * 2 = 28 lost after the computer's mechanical failure. Originally, the movie series with 14 seasons has 14 * 16 = 224 episodes. The mechanical failure of the computer reduced the number of episodes in the 14 season movie series to 224 - 28 = 196. After the loss, Corey had 196 + 168 = 364 episodes remaining from the two movie series he had downloaded.
So the answer is 364.

Question: Fabian is shopping at a nearby supermarket. He wants to buy 5 kilograms of apples, 3 packs of sugar, and 500 grams of walnuts. One kilogram of apples costs $2, and one kilogram of walnuts costs $6. One pack of sugar is $1 cheaper than one kilogram of apples. How much Fabian needs to pay for the items he wants to buy?
Answer: Step-by-step reasoning process: The apples cost Fabian 5 kg * $2 / kg = $10. For the walnuts Fabian needs to pay 0.5 kg * $6 = $3. One pack of sugar costs $2 - $1 = $1. So Fabian will pay $1 / pack * 3 = $3 for sugar. In total, Fabian needs to pay $10 + $3 + $3 = $16.
So the answer is 16.

Question: After complaints from the residents of Tatoosh about the number of cats on the island, the wildlife service carried out a relocation mission that saw the number of cats on the island drastically reduced. On the first relocation mission, 600 cats were relocated from the island to a neighboring island. On the second mission, half of the remaining cats were relocated to a rescue center inland. If the number of cats originally on the island was 1800, how many cats remained on the island after the rescue mission?
Answer:
Step-by-step reasoning process: After the first mission, the number of cats remaining on the island was 1800 - 600 = 1200. If half of the remaining cats on the island were relocated to a rescue center inland, the number of cats taken by the wildlife service on the second mission is 1200 / 2 = 600 cats. The number of cats remaining on the island is 1200 - 600 = 600.
So the answer is 600.