[Question]A man loves to go hiking. He knows that he has to pack about .5 pounds of supplies for every mile he hikes. He plans to go for a very long hike. He knows that he can get 1 resupply during the hike that will be 25% as large as his first pack. He can hike at a rate of 2.5 mph. He is going to hike 8 hours a day for 5 days. How much does he need to bring with his first pack?
[Answer]He is going to hike 8 * = 40 hours. That means he will be hiking for 40 * 2.5 = 100 miles. So he needs 100 * .5 = 50 pounds of supplies. With the resupply he can get up to 1 + .25 = 1.25 times his initial pack. That means his initial pack has to weigh 50 / 1.25 = 40 pounds. The answer is 40.
Q: Adrian has the choice between two boxes of contacts. One has 50 contacts for $25, and the other has 99 contacts for $33. He chooses the box that costs less per individual contact. How many contacts will it take to equal $1 worth in whatever box he decides to buy?
A: First, we need to determine the price per contact in each of the two choices. We begin by performing 50 / 25 = 2 contacts per every dollar spent on choice A. Next, we determine the price per contact of the alternate choice. We do this by performing 99 / 33 = 3 contacts for every dollar spent on choice B. Since 3>2, Adrian purchases choice B. The answer is therefore 3. The answer is 3.
Question: Mark and Peter dug ponds in their backyards. Mark’s pond is 4 feet deeper than 3 times Peter’s pond. If Mark’s pond is 19 feet deep, what is the depth of Peter’s pond?
Answer: Let’s use p for the number of feet in Mark’s pond. 3 * p + 4 = 19. 3 * p = 19 - 4 = 15. 3p = 15. p = 5. The answer is 5.
[Question]John buys dinner plates and silverware. The silverware cost $20. The dinner plates cost 50% as much as the silverware. How much did he pay for everything?
[Answer]The dinner plates cost 20 * .5 = $10. So he paid 10 + 20 = $30. The answer is 30.
Q: At its current growth rate, a certain plant will be 80 feet tall after a year. If the plant grows at the same rate every month and is currently 20 feet tall, what's its monthly growth rate in feet?
A: If the plant is currently 20 feet tall, it will have grown by 80 - 20 = 60 feet after a year. Since a year has 12 months, and the tree grows at the same rate every month, the tree grows at 60 / 12 = 5 feet every month. The answer is 5.
Question: Tammy has 10 orange trees from which she can pick 12 oranges each day. Tammy sells 6-packs of oranges for $2. How much money will Tammy have earned after 3 weeks if she sells all her oranges?
Answer:

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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Tammy picks 10 trees x 12 oranges / tree = 120 oranges per day. Tammy sells 120 oranges / day / 6 oranges / pack = 20 6 - packs of oranges a day. Tammy sells 20 packs / day x 7 days / week = 140 6 - packs a week. In 3 weeks Tammy sells 140 packs / week x 3 weeks = 420 6 - packs. Tammy makes 420 packs x $2 / pack = $840. The answer is 840.