[Question]Tatuya, Ivanna, and Dorothy took a quiz together. Tatuya scored twice as much as Ivanna, and Ivanna scored 3/5 times as many marks as Dorothy. If Dorothy scored 90 marks, calculate the average marks scored by the three.
[Answer]Since Dorothy scored 90 marks, and Ivanna scored 3 / 5 times as many marks, Ivanna scored 3 / 5 * 90 = 54 marks. Together, Dorothy and Ivanna scored a total of 54 + 90 = 144 marks. If Tayuta scored twice as many marks as Ivanna, she scored 2 * 54 = 108 marks. The total marks the three scored altogether is 108 + 144 = 252 marks. The average marks for the three are 252 / 3 = 84 marks. The answer is 84.
Q: Michael has 36 pets. 25% of them are dogs, 50% are cats, and the rest are bunnies. How many bunnies does he have?
A: 25% of his pets are bunnies because 100% - 50% - 25% = 25%. He has 9 bunnies because 36 x .25 = 9. The answer is 9.
Question: A cargo ship moving from Shanghai to Vancouver navigates for 21 days before reaching port. Customs and regulatory processes in Vancouver last 4 days. Finally, moving the cargo from the port to your rural warehouse takes some time and it always arrives on the seventh day. How many days ago should the ship have departed if your warehouse is expecting the shipment 2 days from today?
Answer: The total lead time for the cargo is 21 days on water + 4 in customs + 7 to the warehouse or 21 + 4 + 7 = 32 days. If the warehouse is expecting the cargo in 2 days from today then the cargo should have already completed 32 - 2 = 30 days of lead time. The answer is 30.
[Question]A man loves to go hiking. He knows that he has to pack about .5 pounds of supplies for every mile he hikes. He plans to go for a very long hike. He knows that he can get 1 resupply during the hike that will be 25% as large as his first pack. He can hike at a rate of 2.5 mph. He is going to hike 8 hours a day for 5 days. How much does he need to bring with his first pack?
[Answer]He is going to hike 8 * = 40 hours. That means he will be hiking for 40 * 2.5 = 100 miles. So he needs 100 * .5 = 50 pounds of supplies. With the resupply he can get up to 1 + .25 = 1.25 times his initial pack. That means his initial pack has to weigh 50 / 1.25 = 40 pounds. The answer is 40.
Q: There are 141 gold balloons and twice as many silver balloons. If the gold and silver balloons were added to 150 black balloons, how many balloons are there in total?
A: Gold = 141. Silver = 141 * 2 = 282. 141 + 282 + 150 = 573. There are 573 gold, silver, and black balloons in total. The answer is 573.
Question: The Great Pyramid of Giza was the tallest man-made structure on earth for almost 4000 years. It is 20 feet taller than 500 feet, and 234 feet wider than it is tall. What is the sum of the height and width of the Great Pyramid of Giza in feet?
Answer:
The height is 20 feet taller than 500 feet, or 500 + 20 = 520 feet. The structure is 234 feet wider than it is tall, or a width of 520 + 234 = 754 feet wide. Therefore, the sum of the height and width of the Great Pyramid of Giza is 520 + 754 = 1274 feet. The answer is 1274.