[Question]Phillip wants to make pickles with the supplies he finds at home. He has 4 jars, 10 cucumbers, and 100 oz of vinegar. Each cucumber makes six pickles. Each jar can hold 12 pickles. It takes 10 ounces of vinegar per jar of pickles. When he is all done making as many pickles as he has supplies for, how many ounces of vinegar are left?
[Answer]The jars allow him to make 48 pickles because 4 x 12 = 48. The cucumbers allow him to make 60 pickles because 10 x 6 = 60. The vinegar allows him to make 10 jars of pickles because 100 / 10 = 10. The vinegar is enough to make 60 pickles because 10 x 6 = 60. He can make 48 pickles because 48 < 60. He needs 4 jars to make this because 48 / 12 = 4. He needs 40 ounces of vinegar because 4 x 10 = 40. He has 60 ounces remaining because 100 - 40 = 60. The answer is 60.
Q: Sarah walked to school carrying a bag containing 25 apples. At school, she gave each teacher she saw an apple. She also gave a single apple to each of 5 of her closest friends. And while she walked home, she also ate one of the apples. If she had three apples left in the bag when she got home, how many apples had she given away to teachers?
A: Of her original 25 apples, Sarah gave five to friends, meaning she has no more than 25 - 5 = 20 apples available to give to teachers. She ate one while walking home, meaning she had no more than 20 - 1 = 19 apples available to give to teachers. And since she had three apples remaining when she got home, then the amount she had given to teachers was 19 - 3 = 16 apples. The answer is 16.
Question: Malcolm is trying to find the fastest walk to school and is currently comparing two routes. In the first route, he walks for 6 minutes uphill, walks for twice this amount of time along a path, then finishes the journey in a third of the time it took to walk the first two stages. In the second route, he walks along a flat path for 14 minutes, then finishes the walk in twice this amount of time. In minutes, how much longer was the second route compared with the first?
Answer: In the first route, Malcolm spends 6 minutes * 2 = 12 minutes walking along the path. So in total, the first two stages of this route take him 6 + 12 = 18 minutes. This means the final part of the journey took him 18 / 3 = 6 minutes. Therefore, the total time it takes to walk the first route is 18 + 6 = 24 minutes. In the second route, the second stage takes him 14 * 2 = 28 minutes. So the second route takes a total of 28 + 14 = 42 minutes to walk. The second route therefore takes an extra 42 minutes for the second route – 24 minutes for the first route = 18 minutes. The answer is 18.
[Question]Evergreen Elementary school has 100 students in Grades 4, 5, and 6. There are 30 students in Grade 4 and 35 students in Grade 5. How many students are in Grade 6?
[Answer]There are 30 + 35 = 65 students in Grades 4 and 5. Therefore, there are 100 - 65 = 35 students in Grade 6. The answer is 35.
Q: Ralph watches TV for 4 hours a day from Monday to Friday, and 6 hours a day on Saturday and Sunday. How many hours does Ralph spend watching TV in one week?
A: From Monday to Friday, Ralph watches TV for 4 * 5 = 20 hours. On Saturday and Sunday, Ralph watches TV for 2 * 6 = 12 hours. In one week, Ralph watches TV for a total of 20 + 12 = 32 hours. The answer is 32.
Question: Danielle bought a new house for $280k. She paid a $40k deposit on the house, and pays the rest using a mortgage that is spread out over 10 years. Danielle makes equal payments every month and at the end of the 10 years, the entire balance will be paid off. How much, in thousands of dollars, does Danielle pay each month?
Answer:
After paying the deposit, Danielle still has to pay a total of $280k purchase price - $40k deposit = $240k via her mortgage. As the mortgage is over 10 years, Danielle’s payments need to total $240k mortgage balance / 10 years = $24k per year. So each month, Danielle has to pay $24k per year / 12 months in a year = $2k per month. The answer is 2.