Question: The total average age of three friends is 40. Jared is ten years older than Hakimi, and Molly's age is 30. How old is Hakimi?
Answer: Step-by-step reasoning process: The total age for the three friends is 40 * 3 = 120. If Molly's age is 30, then Jared and Hakimi have a total age of 120 - 30 = 90. Let's say the age of Hakimi is x. Since Jared is 10 years older than Hakimi, Jared is x + 10 years old. Jared and Hakimi's total age is x + (x + 10) = 90. This translates to 2x = 90 - 10. 2x = 80. Hakimi's age is x = 80 / 2. This gives us x = 40, which is Hamkimi's age.
So the answer is 40.

Question: Milly and Floretta are having a water balloon fight in their garden. They use 3 packs of their own water balloons and also use 2 packs of a neighbor’s water balloons. Each pack of water balloons contains 6 balloons. Milly and Floretta fill all of the balloons then split them evenly, but Milly takes an extra 7 balloons when Floretta isn't looking. How many water balloons is Floretta left with?
Answer: Step-by-step reasoning process: Milly and Floretta have a total of 3 packs of their own water balloons + 2 packs of the neighbor’s water balloons = 5 packs of water balloons. So there is a total of 5 packs of water balloons * 6 balloons per pack of water balloons = 30 water balloons available. As they split them evenly, they each have 30 water balloons / 2 = 15 water balloons. After Milly steals some balloons, Floretta is left with 15 – 7 = 8 water balloons.
So the answer is 8.

Question: A group of researchers are studying a colony of penguins. Their results show that the size doubled in the first year they watched the colony, then tripled in the next year. This year, however, harsh conditions meant the colony only gained 129 penguins. The colony has 1077 penguins in it now. Each penguin eats one and a half fish every day. How many fish did the whole colony catch per day to eat at the beginning of the first year?
Answer: Step-by-step reasoning process: The colony had 1077 - 129 = 948 penguins in it at the beginning of this year. At the beginning of the second year, the colony had 948 / 3 = 316 penguins in it. At the beginning of the first year, it had 316 / 2 = 158 penguins in it. Thus, at the beginning of the first year, the penguin colony was catching 158 * 1 1 / 2 = 237 fish per day.
So the answer is 237.

Question: Lilah's family gallery has 400 photos. On a two-day trip to the Grand Canyon, they took half as many photos they have in the family's gallery on the first day and 120 more photos than they took on the first day on the second day. If they added all these photos to the family gallery, calculate the total number of photos in the gallery.
Answer:
Step-by-step reasoning process: On their first day to the grand canyon, the family took half as many photos as the ones they have in the gallery, meaning they took 1 / 2 * 400 = 200 photos. The total number of photos if they add the ones they took on the first day to the family's gallery is 400 + 200 = 600. On the second day, they took 120 more photos than they took on the first day, a total of 200 + 120 = 320 photos. After adding the photos they took on the second day to the galley, the number of photos will be 600 + 320 = 920.
So the answer is 920.