[Question]Ali, Peter, and Joey were fishing. The fish Ali caught weighed, in sum, twice as much as the fish that Peter caught. Joey caught 1 kg more fish than Peter. Together the three of them caught 25 kg of fish. How many kilograms did Ali catch?
[Answer]Let x be the weight of the fish that Peter caught. Then Ali and Joey caught 2 * x and x + 1 kg of fish, respectively. So, x + 2 * x + x + 1 = 25. So, 4 * x = 25 - 1 = 24. So, x = 6. Therefore, Ali caught 2 * x = 2 * 6 = 12 kg of fish. The answer is 12.
Q: Dane’s two daughters need to plant 5 flowers each to grow a garden. As the days passed, the flowers grew into 20 more but 10 of them died. Dane’s daughters harvested the flowers and split them between 5 different baskets. How many flowers ended up in each basket?
A: Two daughters planted 5 * 2 = 10 flowers. The flowers grew into 10 + 20 = 30 total. 30 - 10 = 20 flowers were left after 10 died. The daughters put 20 / 5 = 4 flowers in each basket. The answer is 4.
Question: In a house of 15, 3/5 of the people eat pizza. If Aviana brought pizza with 50 pieces, and each person eating pizza took 4 pieces, calculate the number of pizza pieces that remained.
Answer: If there are 15 people in the house, the number of people eating pizza is 3 / 5 * 15 = 9 people. If each house member who eats pizza took four pieces to eat, the number of pieces taken is 4 * 9 = 36 pieces. Since the total number of pieces was 50, the number of pieces not taken is 50 - 36 = 14 pieces. The answer is 14.
[Question]When the machine is cold, as it is in the first hour of production, it takes 6 minutes to produce each molded flower pot. Thereafter, once it is warm, it takes only 5 minutes to produce each pot. How many additional pots are produced in the last hour of the day, compared to the first?
[Answer]In the first hour, it produces 60 / 6 = 10 pots. In the last hour, it produces 60 / 5 = 12 pots. 12 - 10 = 2 more pots are produced in the last hour. The answer is 2.
Q: Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?
A: Susie has 572 x 1 / 4 = 143 red beans. There were 572 - 143 = 429 beans that are not red. There are 429 x 1 / 3 = 143 white beans. So, there were 429 - 143 = 286 beans left. Therefore, 286 / 2 = 143 beans are green. The answer is 143.
Question: UF got into the national championship. For them to get into the championship, they scored a total of 720 points during their previous 24 games. In the championship game, however, their opponent was much stronger than any other team they had previously gone against and they scored 2 points less than half as much as they had previously scored in each of the 24 games. Their opponent only lost by 2 points. How many points did their opponent score?
Answer:
They scored an average of 720 / 24 = 30 points in their previous games. Half that many would be 30 / 2 = 15 points. So in the finals, they scored 15 - 2 = 13 points. Their opponent thus scored 13 - 2 = 11 points. The answer is 11.