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]Zion made a triangular-shaped house of cards with the base having a measurement of 40 centimeters and a height of 20 centimeters. If two of his friends also built similar shaped houses, what's the total area of the triangular houses that Zion and his friends made (the area of a triangle is 1/2 * width * height)?
[Answer]Since the area of a triangle is given by 1 / 2 base * height, the area of the triangular - shaped house of cards that Zion made is 1 / 2 * 40 * 20 = 400 square centimeters. If two of his friend also built similar shaped houses, the total area of their triangular - shaped house of cards is 400 + 400 = 800 square centimeters. Together with Zion, they all built triangular - shaped houses of cards with a combined area of 800 + 400 = 1200 square centimeters. The answer is 1200.
Q: If 24 out of every 60 individuals like football and out of those that like it, 50% play it, how many people would you expect play football out of a group of 250?
A: If 50% of individuals that like football play it, and there are 24 out of 60 individuals that like it, then 24 * 50% = 12 out of 60 individuals play it. If 12 individuals play it out of 60 individuals then that means only 12 / 60 = 1 / 5 or 20% play it. If 20% of individuals play football out of a group of 250 people, one would expect 250 * 20% = 50 individuals to play it. The answer is 50.
Question: Jasmine and her older sister Alexa went to the store to buy shoes. Alexa's shoes are twice as big as Jasmine's shoes. If Jasmine's shoe size is 7, what's the combined shoe size for both of them?
Answer: If Alexa's shoes are twice those of Jasmine, then her shoe size is 7 * 2 = 14. The total shoe size is 14 + 7 = 21. The answer is 21.
[Question]John writes 20 pages a day. How long will it take him to write 3 books that are 400 pages each?
[Answer]He wants to write 3 * 400 = 1200 pages. So it will take him 1200 / 20 = 60 days. The answer is 60.
[Question]A car is driving through a tunnel with many turns. After a while, the car must travel through a ring that requires a total of 4 right-hand turns. After the 1st turn, it travels 5 meters. After the 2nd turn, it travels 8 meters. After the 3rd turn, it travels a little further and at the 4th turn, it immediately exits the tunnel. If the car has driven a total of 23 meters around the ring, how far did it have to travel after the 3rd turn?
[Answer]
From the details given, the car has traveled 5 meters at the 1st turn + 8 meters after the 2nd turn + 0 meters after the 4th turn = 13 meters around the ring. It must therefore have driven 23 total meters – 13 calculated meters = 10 meters after the 3rd turn. The answer is 10.