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]Samuel took 30 minutes to finish his homework while Sarah took 1.3 hours to finish it. How many minutes faster did Samuel finish his homework than Sarah?
[Answer]Since there are 60 minutes in 1 hour, then 1.3 hours is equal to 1.3 x 60 = 78 minutes. Thus, Samuel is 78 – 30 = 48 minutes faster than Sarah. The answer is 48.
Q: At camp Wonka, there are 96 campers. Two-thirds of the campers are boys, and the remaining one-third are girls. 50% of the boys want to toast marshmallows and 75% of the girls want to toast marshmallows. If each camper gets one marshmallow to toast, how many marshmallows do they need?
A: The girls make up one - third of the campers, so there are 96 / 3 = 32 girls. The boys make up two - thirds of the campers, so there are 32 + 32 = 64 boys. There are 32 x 75% = 24 girls who want to toast marshmallows. There are 64 x 50% = 32 boys who want to toast marshmallows. They need 24 + 32 = 56 marshmallows. The answer is 56.
Question: Claire was in charge of passing out free balloons to all the children at the fair. She started with 50 balloons. While passing 1 balloon to a little girl, 12 balloons floated away. Over the next thirty minutes, she gave 9 more away and grabbed the last 11 from her coworker. How many balloons does Claire have?
Answer: As she gave 1 balloon out, 12 balloons floated away plus she gave away 9 more balloons so she is down 1 + 12 + 9 = 22 balloons. She started with 50 and gave / lost 22 balloons so she has 50 - 22 = 28 balloons. She also took her coworkers last 11 balloons so her new total is 28 + 11 = 39 balloons. The answer is 39.
[Question]Carl is having a party on Saturday and is inviting 15 guests. He would like to make sure everyone, including himself, has at least 2 glasses of punch. Each glass holds 12 ounces of punch. How many ounces of punch does he need to buy for the party?
[Answer]Including Carl, there will be 15 + 1 = 16 people at the party. Carl would like each person to be able to have 2 cups x 12 ounces = 24 ounces of punch. Carl needs to buy 16 x 24 = 384 ounces of punch. The answer is 384.
[Question]An airplane took a trip along the Eastern Coast of the USA. During the trip, the plane hovered in Mountain time for 3 hours, Central time for 4 hrs, and Eastern time for 2 hrs. The next day it took 2 more hours to hover in each of the places it passed through the previous day. Calculate the total time it took the plane to hover over Mountain time, Central time, and Eastern time in the two days.
[Answer]
The total time it took to hover over the Mountain and the central time is 3 + 4 = 7 hours. If it hovered further to the Eastern time zone, it took a total of 7 + 2 = 9 hours to cover the whole trip. The next day, it took 2 more hours to cover each of the places it passed through the previous day, taking a total of 2 * 3 = 6 hours. The total time it took on the second day to cover the distance it covered the previous day is 9 + 6 = 15 hours. In total, the train took 15 + 9 = 24 hours to hover over the places in the two days. The answer is 24.