Question: New York is two-thirds as populated as all of New England. If New England has 2100000 people, calculate the combined population of both states.
Answer: New York is two - thirds as populated as all of New England, meaning there are 2 / 3 * 2100000 = 1400000 people living in New York. The combined population of both states is 1400000 + 2100000 = 3500000. The answer is 3500000.
[Question]A book has 8 chapters. Beth has read 2 chapters in 3 hours. If she continues reading at that rate, in how many hours will she be able to finish reading the remaining chapters?
[Answer]Beth still needs to read 8 - 2 = 6 chapters. She can read 1 chapter in 3 / 2 = 1.5 hours. Therefore, she will be able to finish reading the remaining chapters in 1.5 x 6 = 9 hours. The answer is 9.
Q: Ginger owns a flower shop, where she sells roses, lilacs, and gardenias. On Tuesday, she sold three times more roses than lilacs, and half as many gardenias as lilacs. If she sold 10 lilacs, what is the total number of flowers sold on Tuesday?
A: With 10 lilacs sold, three times more roses than lilacs is 3 * 10 = 30 roses. Half as many gardenias as lilacs is 10 / 2 = 5 gardenias. In total, there were 10 + 30 + 5 = 45 flowers sold on Tuesday. The answer is 45.
Question: Gerald thought it would be funny to trick his coworker, who's allergic to peanuts, into eating a peanut butter cookie. When his coworker goes into anaphylactic shock and is taken to the hospital, Gerald is arrested. The judge sentences Gerald to 3 months for assault and 2 years for poisoning, then extends his sentence by 1/3 since this is Gerald's third offense. How many months does Gerald spend in jail?
Answer: First convert the 2 - year sentence to months: 2 years * 12 months / year = 24 months. Then add the 3 months for assault: 24 months + 3 months = 27 months. Then find how long the 1 / 3 extension is: 27 months / 3 = 9 months. Finally, add up the three lengths of time to find the total sentence length: 27 months + 9 months = 36 months. The answer is 36.
[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.
[Question]Johns goes to the gym 3 times a week. He spends 1 hour each day lifting weight. Additionally, he also spends a third of his weightlifting time warming up and doing cardio each day. How many hours does he spend at the gym a week?
[Answer]
He spends 60 / 3 = 20 minutes warming up. So he spends 60 + 20 = 80 minutes at the gym per day. That means he spends 80 * 3 = 240 minutes at the gym. So he spends 240 / 60 = 4 hours at the gym a week. The answer is 4.