Q: A school has 1000 students. Half of the students were taken on a trip to the nearby beach. Half of the remaining students were sent home. How many students are still in the school?
A: 1000 * 1 / 2 = 500 students were taken on a trip to the nearby beach. So 1000 - 500 = 500 students were not taken to the beach. Thus, 1 / 2 * 500 = 250 students who were not taken to the beach were sent home. Thus, 500 - 250 = 250 students are still in school. The answer is 250.
Question: John has to restring 3 basses with 4 strings each, twice as many guitars which have 6 strings each, and 3 fewer 8 string guitars than the normal guitars. How many strings does he need?
Answer: The basses take 3 * 4 = 12 strings. He restrings 2 * 3 = 6 normal guitars. That takes 6 * 6 = 36 strings. He restrings 6 - 3 = 3 guitars with 8 strings. So that uses 3 * 8 = 24 strings. So he uses 12 + 36 + 24 = 72 strings. The answer is 72.
[Question]There are 11 boys and 13 girls in a class. If 1 boy is added to the class, what percentage of the class are girls?
[Answer]There are a total of 11 + 1 = 12 boys in the class. Hence, there are a total of 12 boys + 13 girls = 25 students in a class. So 13 / 25 x 100% = 52% of the class are girls. The answer is 52.
Q: Viggo spent $80 on a shirt. He paid the shirt using $20 and $10 bills. If she gave the clerk one more $20 bill than $10 bills, how many $10 bills did he give?
A: Let x be the number of $10 bills. So, there are (x + 1) $20 bills. Adding the $10 and $20 bills should sum up to $80 so the equation is 10x + 20(x + 1) = 80. Then, distribute 20 to x + 1 so it becomes 10x + 20x + 20 = 80. Combining the like terms on the left side gives 30x + 20 = 80. Then transfer 20 to the right side of the equation, so it becomes 30x = 60. To solve for x, we have 60 / 30 = 2. Therefore, there are 2 $10 bills. The answer is 2.
Question: Nora is selling muffins to raise $120 for an upcoming school trip. She has packaged the muffins in cases. Each case has three packs of muffins. Each pack has four muffins. If she prices each muffin at two dollars, how many cases of muffins must she sell to raise enough money for the trip?
Answer: If Nora prices each muffin at two dollars, she will sell 1 pack for 2 * 4 = 8 dollars. Since there are 3 packs to a case, the case will be sold for 3 * 8 = 24 dollars. It therefore means that she needs to sell 120 / 24 = 5 cases of muffins. The answer is 5.
Q: Phil has a coin collection he likes to add to. He started with 50 state quarters his parents gave him. Over the next year he doubled this. The following year he collected 3 each month. The year after that he collected 1 every third month. The year after that he lost a quarter of them when he misplaced his collection. How many did he have left after losing some?
A:
Phil started with 50, and doubled this amount the next year for 50 * 2 = 100 coins. Phil then collected 3 per month the following year, and since there are 12 months in a year that was 3 * 12 = 36 coins added. Phil then collected 1 every third month, and since there are 12 months that means he collected one every 12 / 3 = 4 months, for 4 coins added. Before he lost a quarter of his coins, Phil had 100 + 36 + 4 coins, or 140 coins in total. Losing a quarter of 140 coins means Phill lost 140 / 4 = 35 coins. That means Phil had 140 - 35 = 105 coins remaining. The answer is 105.