Q: Jackson is making pancakes with three ingredients: flour, milk and eggs. 20% of the bottles of milk are spoiled and the rest are fresh. 60% of the eggs are rotten. 1/4 of the cannisters of flour have weevils in them. If Jackson picks a bottle of milk, an egg and a canister of flour at random, what are the odds all three ingredients will be good?
A: First find the percentage of milk bottles that are fresh: 100% - 20% = 80%. Then find the percentage of the eggs that aren't rotten: 100% - 60% = 40%. Then find the fraction of the flour canisters that don't have weevils: 1 - 1 / 4 = 3 / 4. Divide the numerator of this fraction by the denominator and multiply by 100% to convert from a fraction to a percent: 3 / 4 * 100% = 75%. Then multiply the probability that each ingredient is good to find the probability they all are: 75% * 80% * 40% = 24%. The answer is 24.
Question: Jefferson hires a carriage to go to the church. It is 20 miles away. The horse can go 10 miles per hour. It cost $30 per hour plus a flat fee of $20. How much did he pay for the carriage?
Answer: He paid for 20 / 10 = 2 hours. That means the hourly fee was 30 * 2 = $60. So the total cost was 60 + 20 = $80. The answer is 80.
[Question]Rex is taking lessons for his driver’s license. He wants to take 40 hour-long lessons before his test, and decides to have two-hour sessions twice a week until he has done his test. After 6 weeks, how many more weeks will Rex need to continue taking lessons to reach his goal?
[Answer]Each week, Rex is taking 2 hour - long lessons * 2 times a week = 4 lessons. After 6 weeks, he has done 4 lessons per week * 6 weeks = 24 lessons. So Rex still needs 40 total lessons – 24 lessons taken = 16 lessons. He will therefore need lessons for another 16 lessons / 4 lessons per week = 4 weeks. The answer is 4.
Q: Carter has a 14-hour road trip. He wants to stop every 2 hours to stretch his legs. He also wants to make 2 additional stops for food and 3 additional stops for gas. If each pit stop takes 20 minutes, how many hours will his road trip become?
A: He has a 14 - hour trip and wants to stop every 2 hours so that's 14 / 2 = 7 pit stops. He will make 7 pit stops plus 2 more for food and 3 more for gas for a total of 7 + 2 + 3 = 12 pit stops. Each pit stop will take 20 minutes and he is making 12 stops so that's 20 * 12 = 240 minutes. 60 minutes are in an hour and he's adding 240 minutes to his trip so that's 240 / 60 = 4 more hours. His trip started as 14 hours and he will add an additional 4 hours in pit stops for a total of a 14 + 4 = 18 hour long trip. The answer is 18.
Question: Allen ordered five boxes of pizza, which cost $7 each box. He then gave a tip which amounts to 1/7 of the total cost of his order. If he gave the delivery man $100, how much change did he receive?
Answer: The total cost of five boxes of pizza is $7 x 5 = $35. He gave $35 x 1 / 7 = $5 tip to the delivery man. He spent a total of $35 + $5 = $40 for the pizza and the tip. The change that he received is $100 - $40 = $60. The answer is 60.
Q: Brandon can catch 6 squirrels or two rabbits in 1 hour. Each squirrel has 300 calories and each rabbit has 800 calories. How many more calories will he get per hour if he catches squirrels instead of rabbits?
A:
First find how many calories per hour Brandon gets from squirrels: 300 calories / squirrel * 6 squirrels = 1800 calories. Then find how many calories per hour Brandon gets from rabbits: 800 calories / rabbit * 2 rabbits = 1600 calories. Then subtract the number of calories per hour from rabbits from the number from squirrels to find the difference: 1800 calories - 1600 calories = 200 calories. The answer is 200.