He plays video games for 4 / 2 = 2 hours a day. He watches TV for 4 * 7 = 28 hours a week. He plays video games for 3 * 2 = 6 hours. So in total he spends 6 + 28 = 34 hours on those activities.
The answer: 34
Reverse engineering the question: Mike watches TV for 4 hours every day. On the days he plays video games he plays for half as long as he watches TV. If he plays video games 3 days a week how long does he spend watching TV and playing video games?
Reasoning and answer: There are 300 students + 30 teachers = 330 people that are seated. Since there 25 students that are standing, so 330 + 25 = 355 people who attended the school meeting.
The answer: 355
What was the question?
Question: During a school meeting, 300 students and 30 teachers are seated but 25 students are standing. How many attended the school meeting?
Let's first calculate the total number of cookies: 25 X 3 = 75 cookies. Let us now share these cookies among the 5 children: 75 / 5 = 15 cookies.
The answer: 15
Reverse engineering the question: For his birthday, Aku invited 4 friends. His mother bought 3 packages of cookies each containing 25 cookies. After playing football, the children came to eat and celebrate Aku's 10th birthday, each eating an equal number of all the cookies. Calculate the number of cookies that each child will eat.
Reasoning and answer: He earns $80 from werewolf removal because 8 x 10 = 80. He earned $25 from vampire removal because 105 - 80 = 25. He removed 5 vampires from town because 25 / 5 = 5. There were 10 vampires because 5 / .5 = 10. There were 40 werewolves because 4 x 10 = 40. The proportion of werewolves that he removed was .2 because 8 / 40 = .2. The percentage of werewolves removed was 20% because 100 x .2 = 20.
The answer: 20
What was the question?
Question: Van Helsing gets paid by the town to remove all the vampires and werewolves. He gets $5 per vampire and $10 per werewolf. He removes half the vampires and removes 8 werewolves, and earned $105. There were 4 times as many werewolves as vampires. What percentage of the werewolves did he remove?
The 50% of the class that chose dogs and video games amounts to 30 * 0.5 = 15 students who prefer dogs over cats. Similarly, the 10% that chose dogs and movies amount to 30 * 0.1 = 3 students who prefer dogs over cats. Because these are the only two ways that a student could indicate their preference for dogs, and because these groups do not overlap, a total of 15 + 3 = 18 students favor dogs over cats in this teacher's class.
The answer: 18
Reverse engineering the question: During a unit on probability, a teacher surveys her class asking her students two questions. The first question was whether they prefer dogs or cats, and the second question was whether they movies or video games. Of the 30 students in her class, 50% chose dogs and video games as their two answers, while 10% chose dogs and movies as their two answers. In total, how many students in this teacher's class prefer dogs over cats?
Mark played for a total of 20 + 35 = 55 minutes. So, he was on the sideline for 90 - 55 = 35 minutes.
The answer: 35
Reverse engineering the question:
In a 90-minute soccer game, Mark played 20 minutes, then rested after. He then played for another 35 minutes. How long was he on the sideline?