[Question]Grandpa Lou enjoys watching movies on the Hallmark channel, where every movie lasts 90 minutes. If, on Tuesday, he watched several full-length movies on the Hallmark channel for a total of 4 hours and 30 minutes, and then on Wednesday he watched on the same channel twice as many movies as he did on Tuesday. What is the maximum number of full-length movies Grandpa could have watched during these two days?
[Answer]4 hours and 30 minutes is the same as 4 * 60 + 30 = 270 minutes. At 90 minutes per movie, Grandpa could watch a total of 270 / 90 = 3 entire movies in 4 hours and 30 minutes. On Wednesday, he watched 2 * 3 = 6 movies. Thus, during these two days, he could have watched as many as 3 + 6 = 9 movies. The answer is 9.
Q: Hash has nine more than half as many toys as Bill has. If Bill has 60 toys, how many total toys do the boys have?
A: First we need to know what half of Bills toys are, 60 toys / 2 = 30 toys. Hash has 9 toys + 30 toys = 39 toys. Together the boys have 60 toys + 39 toys = 99 toys. The answer is 99.
Question: Eugene built a model house out of toothpicks and a deck of playing cards. For every card, he used 75 toothpicks. The deck of playing cards had 52 cards, and Eugene used all but 16 of the cards to build his house. If a box of toothpicks contains 450 toothpicks, how many boxes of toothpicks did Eugene use to create his model house?
Answer: If Eugene used all but 16 of the 52 cards, then he used 52 - 16 = 36 cards. If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450 / 75 = 6 cards. Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36 / 6 = 6 boxes of toothpicks. The answer is 6.
[Question]A cheetah can run at a top speed of 60 mph. The gazelle can run for speeds of up to 40 miles per hour. If one mile per hour is about 1.5 feet per second, then how many seconds would it take for a cheetah traveling at top speed to catch up to a fleeing gazelle also running at top speed if the two animals were initially 210 feet apart and they both traveled in the same direction?
[Answer]60 mph is 60 * 1.5 = 90 feet per second. 40 mph is 40 * 1.5 = 60 feet per second. Thus, for every second, the cheetah advances on the gazelle by 90 - 60 = 30 feet per second. To close on a distance of 200 feet, it would take the cheetah 210 / 30 = 7 seconds to catch the gazelle. The answer is 7.
Q: Ian is looking to lose some weight. He decides to start jogging around his apartment complex every night to burn some calories. He does 5 laps around the complex every night. Each lap is 100 feet. If it takes 25 feet of jogging to burn a calorie, how many calories does Ian burn after 5 days of jogging like this?
A: First, we need to determine how many feet Ian runs in a week. We begin this by multiplying the number of laps by the number of feet per lap, performing 5 * 100 = 500 feet per day. Since there are 5 days in the period being measured, this means Ian runs 500 * 5 = 2500 feet jogged. Since it takes 25 feet of jogging to burn a calorie, this means Ian burns 2500 / 25 = 100 calories burned jogging throughout the week. The answer is 100.
Question: Antoinette weighs 7 less kilograms than twice Rupert's weight. Together they weigh 98 kilograms. How many kilograms does Antoinette weigh?
Answer:
Let R = Rupert's weight. Antoinette = 2R - 7. R + 2R - 7 = 98. 3R = 105. Rupert = 35 kg. Antoinette = 2 * 35 - 7 = 63 kg. Antoinette weighs 63 kilograms. The answer is 63.