[Question]A question and answer forum has 200 members. The average number of answers posted by each member on the forum is three times as many as the number of questions asked. If each user posts an average of 3 questions per hour, calculate the total number of questions and answers posted on the forum by its users in a day.
[Answer]If each user posts an average of 3 questions per hour, the average number of answers posted on the forum is 3 times the number of questions which totals to 3 * 3 = 9 answers per. hour. In a day, with 24 hours, the average number of questions asked by each member is 24 * 3 = 72,. If there are 200 users of the forum, the total number of questions asked is 200 * 72 = 14400 questions in a day. At the same time, a member posts an average of 9 * 24 = 216 answers in a day. Since there are 200 members who use the forum, the total number of answers posted in the forum in a day is 200 * 216 = 43200. In total, the number of questions and answers posted on the forum is 43200 + 14400 = 57600. The answer is 57600.
Q: Jason sent 220 text messages on Monday, half as many text messages on Tuesday, and 50 text messages each day Wednesday through Friday. How many text messages did he send on average during those five days?
A: First find how many text messages he sent on Tuesday: 220 messages / 2 = 110 messages. Then find how many text messages he sent Wednesday - Friday: 50 messages / day * 3 days = 150 messages. Then add up all the messages he sent to find the total: 110 messages + 150 messages + 220 messages = 480 messages. Then divide that number by the number of days to find the average number of messages he sent per day: 480 messages / 5 days = 96 messages / day. The answer is 96.
Question: John has to hire a lawyer. He pays $1000 upfront. He then gets charged $100 per hour. The lawyer has to work 50 hours in court time. It takes 2 times that long in prep time. His brother pays half the fee. How much did John pay?
Answer: The lawyer worked 50 * 2 = 100 hours out of court. So he worked 100 + 50 = 150 hours total. That means the hourly time cost 150 * 100 = $15000. Adding the upfront cost it was 15000 + 1000 = $16000. His brother paid half so he paid 16000 / 2 = $8000. The answer is 8000.
[Question]Elsa gets 500 MB of cell phone data each month. If she spends 300 MB watching Youtube and 2/5 of what's left on Facebook, how many MB of data does she have left?
[Answer]First subtract the 300 MB Elsa spent on YouTube: 500 MB - 300 MB = 200 MB. Then multiply 200 MB by 2 / 5th to find out how much data Elsa spent on Facebook: 200 MB * 2 / 5 = 80 MB. Finally, subtract the data Elsa spent on Facebook from the 200 MB: 200 MB - 80 MB = 120 MB. The answer is 120.
Q: The number of goals scored in a game against Barca by exactly two players last season accounts for 20% of all goals scored in the league. If the players scored an equal number of goals, and the total number of goals scored in the league against Barca that season is 300, calculate the number of goals each of the two players scored.
A: If the total number of goals scored in the league that season against Barca is 300, the two players scored 20 / 100 * 300 = 60 goals. If the players scored an equal number of goals, each scored 60 / 2 = 30 goals. The answer is 30.
Question: Rodney is a door-to-door salesman trying to sell home security systems. He gets a commission of $25 for each system he sells. He is canvassing a neighborhood of four streets with eight houses each. The first street gave him half the sales that the second street did, while every house on the third street turned him away and the fourth street resulted in only one sale. His total commission was $175. How many security systems did he sell on the second street?
Answer:
Let S be the number of systems Rodney sold on the first street. He sold 2S systems on the second street. Based on his commission, he sold 175 / 25 = 7 systems. In all, he sold S + 2S + 0 + 1 = 3S + 1 = 7 systems. On the first and second streets, he sold 3S = 7 - 1 = 6 systems. Thus, on the first street he sold S = 6 / 3 = 2 systems. On the second street, Rodney sold 2 * 2 = 4 security systems. The answer is 4.