Question: Matt can buy key chains in packs of 10 for $20 or in packs of 4 for $12. How much money can he save if he chooses to buy 20 key chains at a lower price?
Answer: Step-by-step reasoning process: The cost of each key chain in packs of 10 for $20 is $20 / 10 = $2. The cost of each key chain in packs of 4 for $12 is $12 / 4 = $3. There is a price difference of $3 - $2 = $1 per key chain between the two choices. By buying 20 key chains at a lower price, Matt can save 20x$1 = $20.
So the answer is 20.

Question: There were 600 cookies in a box. Nicole ate 2/5 of the total number of cookies, while Eduardo ate 3/5 of the remaining amount. What percentage of the original cookies remained?
Answer: Step-by-step reasoning process: Nicole ate 2 / 5 of the total number of cookies, which is 2 / 5 * 600 = 240. The total number of cookies that remained in the box after Nicole ate 240 is 600 - 240 = 360. Eduardo then ate 3 / 5 of the remaining cookies, a total of 3 / 5 * 360 = 216 cookies. The total number of cookies that remained after Eduardo ate 216 is 360 - 216 = 144. The percentage of the cookies that remained out of the original amount is 144 / 600 * 100% = 24%.
So the answer is 24.

Question: One of the clubs at Georgia's school was selling carnations for a fundraising event. A carnation costs $0.50. They also had a special where you could buy one dozen carnations for $4.00. If Georgia sent a dozen carnations to each of her 5 teachers and bought one carnation for each of her 14 friends, how much money would she spend?
Answer: Step-by-step reasoning process: She wants to send a dozen carnations that cost $4 / dz to each of her 5 teachers, so 4 * 5 = $20. She has 14 friends and she knows a dozen carnations is cheaper than buying 12 single carnations. So 14 - 12 = 2 single carnations are needed. A single carnation cost $0.50 so 2 * .50 = $1.00. All total she will spend 20 + 4 + 1 = $25.00 on carnations.
So the answer is 25.

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:

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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Step-by-step reasoning process: 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.
So the answer is 40000.