Question: Jake is retrieving the notes on a communal board, putting all of the red notes in the complaints bin and all of the blue notes in the compliments bin. The red notes were in 5 rows with 6 notes in each row. There are 2 blue notes under each of the red notes, as well as another 10 blue notes scattered at the bottom of the board. How many notes in total are put into the complaints and compliments bins?
Answer: There are a total of 5 rows of red notes * 6 notes per row = 30 red notes on the board. There are 2 blue notes per red notes * 30 red notes = 60 blue notes under the red notes. With the other blue notes at the bottom of the board, there are a total of 60 + 10 = 70 blue notes. So in total, there are 30 red notes + 70 blue notes = 100 notes in total. The answer is 100.
[Question]A boat carrying 20 sheep, 10 cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?
[Answer]The boat had 20 - 3 = 17 sheep make it to shore. 3 sheep drowned, so 2 * 3 = 6 cows drowned. 10 cows on the boat - 6 drowned = 4 cows made it to the shore. 17 sheep + 4 cows + 14 dogs = 35 animals made it to shore. The answer is 35.
Q: Danai is decorating her house for Halloween. She puts 12 plastic skulls all around the house. She has 4 broomsticks, 1 for each side of the front and back doors to the house. She puts up 12 spiderwebs around various areas of the house. Danai puts twice as many pumpkins around the house as she put spiderwebs. She also places a large cauldron on the dining room table. If Danai has the budget left to buy 20 more decorations and has 10 left to put up, how many decorations will she put up in all?
A: Danai places 12 skulls + 4 broomsticks + 12 spiderwebs + 1 cauldron = 29 decorations. She also puts up twice as many pumpkins around the house as she put spiderwebs, 12 x 2 = 24 pumpkins. Danai will also add 20 + 10 decorations to the 29 + 24 decorations already up = 83 total decorations Danai will put up. The answer is 83.
Question: Kris is blowing u balloons for her sister’s party. She has 30 minutes to blow up as many balloons as possible and decides to enlist her brother’s help to increase the number of balloons. Kris can blow up a total of 2 balloon per minute, and her brother works twice as fast. After 15 minutes, her brother doubles his speed and works at this new speed for the remaining 15 minutes. After the 30 minutes, how many balloons, in total, did Kris and her brother blow up?
Answer: Throughout the 30 minutes, Kris blows up 2 balloons per minute * 30 minutes = 60 balloons. Her brother works at double Kris' speed in the first 15 minutes so he works at 2 balloons per minute * 2 = 4 balloons per minute. So in the first 15 minutes, he blows up 4 balloons per minute * 15 minutes = 60 balloons. In the second 15 minutes, he is working at double the rate he did previously, so he blows up 4 balloons per minute * 2 = 8 balloons per minute. In the second 15 minutes, Kris’ brother therefore blows up 8 balloons per minute * 15 minutes = 120 balloons. Throughout the 30 minutes, he has blown up a total of 60 + 120 = 180 balloons. Kris and her brother therefore blew up a total of 60 balloons from Kris + 180 balloons from Kris’ brother = 240 balloons. The answer is 240.
[Question]It took an alligator named Paul 4 hours to walk from his home at the River Nile to the Nile Delta. On the return journey, Paul traveled with six other alligators, the journey taking 2 more hours than Paul took to walk to the Nile Delta, to reach their home at the River Nile. What's the combined time the alligators walked?
[Answer]If on the return journey to its home, the alligator took 2 more hours than it took to travel to the Nile Delta, Paul took 4 + 2 = 6 hours to travel back to its home. The total time Paul took to travel from its home to the Nile Delta and back is 6 + 4 = 10. On his return journey, Paul traveled with six other alligators, and since each alligator traveled for six hours up the Nile to their home, they took a total of 6 * 6 = 36 hours to do so. Together with Paul, all the alligators took 10 + 36 = 46 hours traveling between Nile Delta and up the Nile. The answer is 46.
[Question]The ages of three brothers are consecutive integers with the sum of 96. How old is the youngest brother?
[Answer]
Let x represent the youngest brother. Middle brother:x + 1. Oldest brother:x + 2. Total:x + x + 1 + x + 2 = 96. 3x + 3 = 96. 3x = 93. x = 31 years old. The answer is 31.