Q: Anton has three times as many cards in his collection as Heike does. Ann has six times as many cards as Heike does. If Ann has 60 cards, how many more cards does Ann have more than Anton?
A: If Ann has 60 cards, which is six times as many cards as Heike, Heike has 60 / 6 = 10 cards. Anton has three times as many cards in his collection as Heike does, and since Heike has 10 cards, Anton has 10 * 3 = 30 cards. Ann has 60 - 30 = 30 more cards than Anton. The answer is 30.
Question: Carl has a jar full of marbles. He takes out 12 marbles to play a game with, but he accidentally drops them and 1/2 the marbles get lost. So Carl takes out 10 more marbles. While he is playing his game his mother comes home with another bag of marbles for him, which has 25 marbles in it. If Carl can't find his lost marbles, then how many marbles is he going to put in the jar after he plays his game, from both his original marbles and the new ones?
Answer: Carl starts with 12 marbles to play with but loses 1 / 2, 12 / 2 = 6 marbles Carl didn't lose. Carl takes out 10 more marbles, 6 + 10 = 16 marbles. Then Carl's mother brings him 25 new marbles to add to the 16 he has out of his jar, 25 + 16 = 41 marbles that Carl is going to put in his jar after he plays his marbles game. The answer is 41.
[Question]A spaceship is traveling to another planet. The spaceship travels at a consistent speed its entire journey unless it is stopped for the crew's break. After launch, the spaceship traveled for 10 hours then stopped for 3 hours. It then traveled for another 10 hours then stopped for 1 hour. After this, the spaceship would take an hour's break after every 11 hours of traveling and maintained this routine until the end of its journey. If the entire journey took 3 days then how long, in hours, was the spaceship not moving?
[Answer]On the first day, the spaceship spent a total of 10 hours + 10 hours = 20 hours traveling. On the first day, the spaceship spent a total of 3 hours + 1 hour = 4 hours not moving. This is a total of 20 hours traveling + 4 hours not moving = 24 hours or 1 day. So the rest of the journey took place over 3 days journey 1 first day = 2 days. This is the same as 2 days * 24 hours = 48 hours. In these 2 days, the spaceship's time is split into 11 hours traveling + 1 hour break = 12 hour blocks. So in the last 2 days, the spaceship wasn't moving for a total of 48 hours / 12 hour blocks = 4 hours. Adding this to breaks from the first day shows that the spaceship was not moving for a total of 4 + 4 = 8 hours. The answer is 8.
Q: A zoo has 8 parrots. It 3 times the number of snakes than parrots and 2 times the number of monkeys than snakes. The number of elephants is half the number of parrots and snakes added up, and there are 3 fewer zebras than elephants. What is the difference in number between the zebras and the monkeys?
A: The zoo has 8 x 3 = 24 snakes. It has 24 x 2 = 48 monkeys. The number of parrots and snakes added up is 8 + 24 = 32. There are 32 / 2 = 16 elephants. There are 16 - 3 = 13 zebras. The difference between zebras and monkeys is 48 - 13 = 35. The answer is 35.
Question: There were 100 jelly beans in a bag to be given away on Halloween. Out of the 40 children taking part in the Halloween celebration, 80% were allowed to draw jelly beans from the bag. Each child drew two jelly beans out of the bag. How many jelly beans remained in the bag after the children took their share?
Answer: Out of the 40 children taking part in the Halloween celebration, 80% were allowed to draw jelly beans from the bag, a total of 80 / 100 * 40 = 32 children. If each of the 32 children drew two jelly beans out of the bag, they drew a total of 32 * 2 = 64 jelly beans from the bag. The total number of jelly beans that remained is 100 - 64 = 36. The answer is 36.
Q: The perimeter of a square-shaped piece of paper is 20 cm shorter than the height of a computer screen. How many cm is the height of the screen if the side of the square paper is 20 cm?
A:
The perimeter of a square is found by 4 * side, which means the square paper has a perimeter of 4 * 20 = 80. Since the perimeter of the square is 20 cm shorter than the height of the computer screen, the height of the computer screen is 20 + 80 = 100cm. The answer is 100.