Q: A small store made 50 posters to advertise their products. Two-fifths of them are small posters while half of them are medium posters. The rest are large posters. How many large posters are there?
A: 50 x 2 / 5 = 20 posters are small. And 50 / 2 = 25 posters are medium. So 20 + 25 = 45 posters are not large. Therefore, 50 - 45 = 5 posters are large. The answer is 5.
Question: Joe had 200 data points on his dataset. He then added 20% more data points to the dataset. If he reduced the data points by 1/4 of the total data points, calculate the total number of data points the dataset contains.
Answer: When Joe added 20% more data points to the dataset, the data points in the dataset increased by 20 / 100 * 200 = 40 data points. The total number of data points increased to 200 + 40 = 240. If he reduced the data points by 1 / 4 of the total data points, the data points reduced by 1 / 4 * 240 = 60. The total number of data points left in the dataset after Joe reduced the data points by 1 / 4 of the total data points is 240 - 60 = 180. The answer is 180.
[Question]A particular train has some passenger cars and a number of cargo cars equal to half the number of passenger cars plus three. If the total number of cars is 71, counting the engine and caboose, how many passenger cars are in the train?
[Answer]First find the number of cars not counting the engine and caboose: 71 cars - 2 cars = 69 cars. Let p be the number of passenger cars and c be the number of cargo cars. We know that p + c = 69 and c = p / 2 + 3. Substituting the second equation into the first, we get p + p / 2 + 3 = 69. Combining like terms, we get 1.5p + 3 = 69. Subtracting 3 from both sides, we get 1.5p = 66. Dividing both sides by 1.5, we get p = 44. The answer is 44.
Q: In a certain country store, there are three kinds of bottled drinks. A cola, which costs $3, a juice for $1.5, and water for $1 per bottle. One day the store was able to sell 15 bottles of cola, 25 bottles of water, and 12 bottles of juice. How much did the shop earn?
A: 15 bottles of cola is a cost of 15 * 3 = $45. 12 bottles of juice make up to 12 * 1.5 = $18. As each of the 25 sold water bottles was $1, the shop made a total of 45 + 18 + 25 = $88. The answer is 88.
Question: Max loves to play video games. He played for 2 hours on Wednesday and the same time on Thursday. On Friday his friends came to play together with him, so Max spent over three hours more on playing than on Wednesday. How many hours on average has Max spent playing video games during these three days?
Answer: Max played on Friday three hours more than on Wednesday, so he played for 2 + 3 = 5 hours. In total he played 2 + 2 + 5 = 9 hours. He was playing for three days, so on average, he spent 9 / 3 = 3 hours playing video games every day. The answer is 3.
Q: Josh has 100 feet of rope. He cuts the rope in half, and then takes one of the halves and cuts it in half again. He grabs one of the remaining pieces and cuts it into fifths. He's stuck holding one length of the rope he's most recently cut. How long is it?
A:
John starts with 100ft of rope that he cuts in half, meaning he has 100 / 2 = 50 - foot sections of rope. He then takes one of these sections and cuts it in half again, leaving him with two 50 / 2 = 25 - foot sections of rope. He then takes one of these sections and cuts it into fifths, leaving him with 25 / 5 = 5 foot sections of rope, one of which he is now holding. The answer is 5.