Q: Bill started reading a book on the first day of April. He read 8 pages every day and by the 12th of April, he had covered two-thirds of the book. How many pages does the book have?
A: He read 8 pages every day for 12 days for a total of 8 * 12 = 96 pages. 96 pages is the same as two - thirds of the total number of pages which means: number of pages * (2 / 3) = 96. Therefore the total number of pages is 96 * (3 / 2) = 144 pages. The answer is 144.
Question: Cameron guides tour groups in a museum. He usually answers two questions per tourist. Today, he did four tours. The early morning first group was only 6 people. The following group was a busy group of 11. The third group had 8 people, but one was inquisitive and asked three times as many questions as usual. The last group of the day was a late group of 7. How many questions did Cameron answer?
Answer: Cameron answered 2 * 6 = 12 questions for the first group. He answered 2 * 11 = 22 questions for the second group. The third group had 8 - 1 = 7 tourists that asked 2 questions each. The third group also had 1 tourist that asked 2 * 3 = 6 questions. Thus, the third group asked 7 * 2 + 6 = 14 + 6 = 20 questions. The last group asked 7 * 2 = 14 questions. For all four tours, Cameron answered 12 + 22 + 20 + 14 = 68 questions. The answer is 68.
[Question]While practising for his upcoming math exams, Hayes realised that the area of a circle he had just solved was equal to the perimeter of a square he had solved in the previous problem. If the area of the circle was 100, what's the length of one side of the square?
[Answer]Let's say the side of a square is s.To get the perimeter of a square, you add all the sides, which is s + s + s + s = 100. Therefore, 4s = 100. Therefore one side of the square is s = 100 / 4 = 25. The answer is 25.
Q: Xena is trying to outrun a dragon to get to the safety of a cave it's too big to fit into. Xena has a 600 foot head start, but the dragon can burn her if it gets within 120 feet of her. If Xena runs 15 feet per second and the dragon flies 30 feet per second, how many seconds does Xena have to get to the cave?
A: First find the size of the gap the dragon needs to close to burn Xena: 600 ft - 120 ft = 480 ft. Then find how many feet closer the dragon gets each second by subtracting Xena's speed from the dragon's speed: 30 ft / sec - 15 ft / sec = 15 ft / sec. Then divide the distance by the speed difference to find how many seconds it takes for the dragon to get close enough to burn Xena: 480 ft / 15 ft / sec = 32 sec. The answer is 32.
Question: Beth has 72 marbles of three colors. Each color has the same amount of marbles. If Beth loses 5 red, twice as many blue, and three times as many yellow ones than red ones, how many marbles does she have left?
Answer: Beth has 72 / 3 = 24 marbles of each color. Beth has 24 - 5 = 19 red ones left. Beth lost 5 * 2 = 10 blue ones. Beth has 24 - 10 = 14 blue ones left. Beth lost 5 * 3 = 15 yellow ones. Beth has 24 - 15 = 9 yellow ones left. She has a total of 19 + 14 + 9 = 42 marbles left. The answer is 42.
Q: John buys a pair of earbuds that cost $200. If tax was 15%, how much did he pay after tax?
A:
The tax was 200 * .15 = $30. So he paid 200 + 30 = $230. The answer is 230.