[Question]Princess Daphne bought three necklaces and a set of earrings for a total of $240,000. If all three necklaces were equal in price, and the earrings were three times as expensive as any one necklace, then how expensive was the cost of a single necklace?
[Answer]Let "x" be the price of a single necklace. Thus, the cost of the earrings would be 3x. And since all items totaled $240,000, then x + x + x + 3x = $240,000. Therefore, this simplifies to 6x = 240,000. And, solving for x we see that the price of a single necklace is x = $40,000. The answer is 40000.
Q: There are 34 kids signed up to compete in the talent show. There are 22 more girls than boys signed up to compete. How many girls are signed up to compete in the talent show?
A: There are 34 kids signed up – 22 we know are girls = 12 are girls and boys. We can divide the 12 girls and boys / 2 = 6 boys are competing and 6 girls are competing. That means there are 6 + 22 = 28 girls competing. The answer is 28.
Question: An amusement park sells tickets for $3. This week it welcomed 100 people per day but on Saturday it was visited by 200 people and on Sunday by 300. How much money did it make overall in a week?
Answer: During the weekdays it was visited by 100 * 5 = 500 people. On Sunday and Saturday, it was visited by 200 + 300 = 500 people. In total 500 + 500 = 1000 people visited the park in a week. So it earned 1000 * 3 = 3000 dollars in a week. The answer is 3000.
[Question]James is trying to decide which trail is faster to hike. One trail is 20 miles and mostly downhill, so James can cover it at 5 miles per hour. The other trail is 12 miles, but it's mostly uphill, so James will only be able to cover 3 miles per hour and will have to take an hour break halfway through. How many hours faster is the fastest hike?
[Answer]First find how long the first trail takes to hike: 20 miles / 5 miles / hour = 4 hours. Then find how long James spends hiking the second trail: 12 miles / 3 miles / hour = 4 hours. Then add the 1 hour break James has to take on the second trail: 4 hours + 1 hour = 5 hours. Then subtract the time for the first trail from the time for the second trail to find the difference: 5 hours - 4 hours = 1 hour. The answer is 1.
Q: Celia runs twice as fast as Lexie. If it takes Lexie 20 minutes to run a mile, how long, in minutes, will it take Celia to 30 miles?
A: If Lexie takes 20 minutes to run a mile, Celia takes 20 / 2 = 10 minutes to run the same distance since she is twice as fast. Celia takes 10 minutes to run one mile so it will take 10 * 30 = 300 minutes to run 30 miles. The answer is 300.
Question: Hayden eats 1 oz of mixed nuts as an evening snack. He buys the bulk bag of mixed nuts that cost $25.00 a bag and holds 40 oz of mixed nuts. There is currently a $5.00 coupon for this item. How much will each serving of nuts cost, in cents, after the coupon is applied?
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.
user
The nuts are $25.00 and he has a $5.00 coupon, so the nuts are on sale for $25 - $5 = $20.00. He eats 1 oz of nuts every evening and the bag has 40 oz of nuts, so it has 40 / 1 = 40 1 oz servings. The nuts cost $20.00 and there are 40 servings per bag, so his snack is $20 / 40 = $0.50 per serving. The answer is 50.