[Question]Miss Smith is teaching second period English and is shocked at how small the class seems. There are 6 tables in the classroom with 3 students currently sitting at each table. Sally said 3 girls went to the bathroom, and three times more students went to the canteen. Elliott said that 2 groups of students have recently been added to their class, and each group has 4 students in it. None of these students are in the class right now. Lucas pointed out that a few foreign exchange students have joined the class; 3 from Germany, 3 from France, and 3 from Norway. These students are also missing. How many students are supposed to be in the class?
[Answer]There are currently 3 * 6 = 18 students sitting in the classroom. There were 3 * 3 = 9 students who went to the canteen. Sally has therefore noticed 3 + 9 = 12 students missing from the class. Elliott said that 2 groups of students have joined the class, so there are another 2 * 4 = 8 students who are not in the classroom. Lucas said that there are 3 + 3 + 3 = 9 foreign exchange students who are not in the classroom. Therefore, there should be 18 + 12 + 8 + 9 = 47 students. The answer is 47.
Q: Joe likes to play video games and he normally spends $50 a month on video games. Joe also sells his games for $30 each once he is done playing them. If he starts with $240, how many months can he buy games at $50 and sell them at $30 before he is out of money?
A: Joe can buy a game for $50 and sell it for $30, so he is losing $50 - $30 = $20 each month when he buys and sells a game. Joe starts out with $240 and he buys a game and sells a game he loses $20 per month, so it will take $240 / $20 = 12 months until he is out of money. The answer is 12.
Question: The distance between Arizona and New York is around 2,000 miles by plane. The distance between the 2 different US states increases by 40% if someone decides to drive instead of flying. Missouri is midway between Arizona and New York. How far away is Missouri from New York if someone decides to go by car?
Answer: The distance between Arizona and New York is 2,000 miles by plane. The distance between Arizona and New York is 40% greater by car, which is 40% * 2,000 = 800 miles. This results in a total of 2,000 + 800 = 2,800 miles between Arizona and New York by car. If Missouri is in the middle of the way between Arizona and New York, someone would drive half of the distance to go from Missouri to New York, which is 2,800 / 2 = 1,400. The answer is 1400.
[Question]Three years ago, Bethany was twice the age of her younger sister. In 5 years, her younger sister will be 16. How old is Bethany now?
[Answer]First find how old Bethany's sister currently is: 16 years - 5 years = 11 years. Then find how old her sister was 3 years ago: 11 years - 3 years = 8 years. Then double that age to find how old Bethany was three years ago: 8 years * 2 = 16 years. Then add 3 years to that number to find how old Bethany is now: 16 years + 3 years = 19 years. The answer is 19.
Q: Helga works for a newspaper company. She can write 5 articles every 30 minutes, and she usually works 4 hours a day 5 days a week. If Helga worked an extra 2 hours last Thursday, and an extra 3 hours last Friday, how many articles was she able to write this week?
A: Helga writes 5 x 2 = 10 articles per hour. And she can write 10 x 4 = 40 articles every 4 hours. So, the total number of articles she usually writes for a week is 40 x 5 = 200 articles. She was able to write 10 x 2 = 20 articles on her extra 2 hours last Thursday. And she was able to write 10 x 3 = 30 articles on her extra hour last Friday. So, the total number of articles she was able to write on her extra hours is 20 + 30 = 50. Therefore, she was able to write a total of 200 + 50 = 250 this week. The answer is 250.
Question: 40% of the mosquitos in Jack's area are infected with malaria. 20% of the mosquitos are infected with Zika virus. Without a vaccine, the chances of getting infected with either virus after getting bitten by an infected mosquito are 50%. Jack is taking an experimental malaria vaccine that reduces the chances of getting infected after getting bitten by 50%. If Jack gets bitten by a random mosquito, what is the percentage chance he catches either Zika virus or malaria?
Answer:
First find Jack's chances of getting bitten by an infected mosquito: 40% + 20% = 60%. The chance of being infected by a mosquito with after being bitten: 60% * 50% = 30%. Then find the chances of getting ill after receiving the vaccine: 30% * 50% = 15%. The answer is 15.