[Question]Natalia is riding a bicycle for the cycling competition. On Monday she rode 40 kilometers and on Tuesday 50 kilometers. On Wednesday she rode 50% fewer kilometers than the day before. On Thursday she rode as many as the sum of the kilometers from Monday and Wednesday. How many kilometers did Natalie ride in total?
[Answer]On Wednesday she covered half of the distance from Tuesday, so 50 / 2 = 25 kilometers. On Thursday she rode 40 + 25 = 65 kilometers. In total, Natalia rode 40 + 50 + 25 + 65 = 180 kilometers. The answer is 180.
Q: Mary is making a model sailboat. She wants to add three sails: a rectangular sail that measures 5 inches by 8 inches and two right triangular sails, one that's 3 inches long at the bottom and 4 inches tall and one that's 4 inches long at the bottom and 6 inches tall. (Remember you can find the area of a triangle by dividing the area of a square with the same height and length by 2). How many square inches of canvas does she need total?
A: First find the area of the square sail: 5 inches * 8 inches = 40 square inches. Then find the area of a square sail with the same height and length as the first triangular sail: 3 inches * 4 inches = 12 square inches. Then divide the area in two to find the area of the triangular sail: 12 square inches / 2 = 6 square inches. Then find the area of a square sail with the same height and length as the second triangular sail: 4 inches * 6 inches = 24 square inches. Then divide the area in two to find the area of the triangular sail: 24 square inches / 2 = 12 square inches. Then add up the areas of all the sails to find the total amount of canvas needed: 12 square inches + 6 square inches + 40 square inches = 58 square inches. The answer is 58.
Question: A library has a collection of 100 historical novels arranged on a shelf. 5 people borrow 2 books each from the shelf on a particular day, and 20 more books are borrowed from the shelf on the second day. How many books are remaining on the shelf after the second day?
Answer: Five people borrowed 5 people * 2 books / person = 10 books on the first day. After the second day, the total number of borrowed books increased to 10 books + 20 books = 30 books. The total number of books on the shelf after the second day is 100 books - 30 books = 70 books. The answer is 70.
[Question]John puts $25 in his piggy bank every month for 2 years to save up for a vacation. He had to spend $400 from his piggy bank savings last week to repair his car. How many dollars are left in his piggy bank?
[Answer]He saved money for 2 years, which is equal to 12 x 2 = 24 months. The amount of money he saved is $25 * 24 = $600. But he spent some money so there is $600 - $400 = 200 left. The answer is 200.
Q: Oliver has 4 friends that he is inviting to a party at the arcade. Game tokens cost 30 for $1. Each game costs 2 tokens. If he wants all his friends to get to play 60 games each, how much will it cost?
A: He needs to buy enough tokens for 240 games because 4 x 60 = 240. He needs to buy 480 tokens because 2 x 240 = 480. He needs to spend 160 because 480 / 30 = 16. The answer is 16.
Question: A school is getting ready to open for the year and the sports class is organizing the equipment they have been donated. In total, they have 300 donations to organize. 60 of these were basketball hoops, half of which also had basketballs included as part of the donation. 120 pool floats were donated, but a quarter of these were damaged and were discarded before the sports class arrived. There were 50 footballs, 40 tennis balls, and the remaining donations were basketballs. In total, how many basketballs have been donated?
Answer:
Some of the pool floats were damaged, which means that 120 / 4 = 30 pool floats were discarded. This left the class with 120 – 30 = 90 pool floats that were actually part of the donations they need to organize. This means there were a total of 60 basketball hoops + 90 pool floats + 50 footballs + 40 tennis balls = 240 donations that were not basketballs. So out of the donations, there were 300 donations – 240 = 60 basketballs. In addition, half of the basketball hoops were donated with a basketball included which amounts to 60 basketball hoops / 2 = 30 basketballs. There was therefore a total of 60 + 30 = 90 basketballs donated. The answer is 90.