Q: Tirzah has a lot of purses and handbags; in total she has 26 purses and 24 handbags. Half the purses and 1/4 the handbags are fake. If the rest are authentic, how many purses and handbags in total are genuine?
A: 26 / 2 = 13 of the purses are genuine. 24 / 4 = 6 of the handbags are fake. 24 - 6 = 18 of the handbags are genuine. There are 13 + 18 = 31 genuine purses and handbags. The answer is 31.
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.
[Question]Peter bought 4 new notebooks for school. 2 of them are green, one is black and the other one is pink. The total cost was $45. If the black notebook cost $15, and the pink one cost $10, how much did the green notebooks cost each?
[Answer]The black and pink notebook cost a total of $15 + $10 = $25. The green notebooks cost a total of $45 - $25 = $20. Each green notebook cost $20 / 2 = $10. The answer is 10.
Q: A psychiatrist has 4 patients that need 25 sessions in total. One of the patients needs 6 sessions. Another patient needs 5 more than that. How many sessions would the remaining patients need?
A: The second patient needs 6 + 5 = 11 sessions. The first two patients need 6 + 11 = 17 sessions total. 25 - 17 = 8 sessions. The answer is 8.
Question: The big fashion show is being planned for next week. The show includes runway models strutting up and down the runway wearing designer clothing in front of an audience. There are two parts to the show: evening wear and bathing suits. It takes a model 2 minutes to walk out to the end of the runway and back, and models take turns, one at a time, walking the runway up and back, while wearing different clothes. If there are 6 models in the show, and each model will wear two sets of bathing suits and three sets of evening wear clothing during the runway portion of the show, how long will it take, in minutes, to complete all of the runway trips during the show?
Answer: 6 models wearing 2 sets of bathing suits, or a total of 6 * 2 = 12 trips wearing bathing suits. 6 models wearing 3 sets of evening wear, or a total of 6 * 3 = 18 trips wearing evening wear clothes. Altogether, there will be 12 + 18 = 30 trips up and down the runway. At 2 minutes per trip, all of the trips will take 30 * 2 = 60 minutes to complete. The answer is 60.
Q: Mr. and Mrs. Hugo went on a road trip. On the first day, they traveled 200 miles. On the second day, they traveled 3/4 as far. On the third day, they traveled 1/2 as many miles as the first two days combined. How many miles did they travel for 3 days?
A:

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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On the second day, Mr. and Mrs. Hugo traveled 200 x 3 / 4 = 150 miles. They traveled a total of 200 + 150 = 350 miles in the first two days. On the third day, they traveled 350 x 1 / 2 = 175 miles. So, Mr. and Mrs. Hugo traveled a total of 200 + 150 + 175 = 525 miles for 3 days. The answer is 525.