Q: Rachel is writing an essay. She writes 1 page every 30 minutes. She spends 45 minutes researching the topic. She writes a total of 6 pages. Then she spends 75 minutes editing her essay. Altogether, how many hours did she spend completing the essay?
A: 5
Step-by-step reasoning process: She spends this long researching and editing her essay 45 min + 75 min = 120 min. Converting the minutes to hours for researching and editing is 120 / 60 = 2 hours. She spends this long writing the essay 6 x 30 min = 180 min. Converting the minutes to hours for writing the essay is 180 / 60 = 3 hours. The total hours Rachel spends completing the essay is 2 + 3 = 5 hours.


Q: Mr. Finnegan has 3 tanks with a capacity of 7000 gallons, 5000 gallons, and 3000 gallons, respectively. If he fills the first tank up to 3/4 full, the second tank with water up to 4/5 of its capacity, and the third tank up to half of its capacity, how many gallons in total are in the tanks?
A: 10850
Step-by-step reasoning process: The capacity of the first tank is 7000 gallons, and if it is filled up to 3 / 4 full, it carries 3 / 4 * 7000 = 5250 gallons. When the second tank is filled up to 4 / 5 of its capacity, it carries 4 / 5 * 5000 = 4000 gallons. The total amount of water in the first two tanks is 5250 + 4000 = 9250 gallons. If Mr. Finnegan fills the third tank with water up to half its capacity, the tank fills up with 1 / 2 * 3000 = 1500 gallons. In total, the three tanks have 9350 + 1500 = 10850 gallons of water.


Q: Three years ago, Bethany was twice the age of her younger sister. In 5 years, her younger sister will be 16. How old is Bethany now?
A: 19
Step-by-step reasoning process: First find how old Bethany's sister currently is: 16 years - 5 years = 11 years. Then find how old her sister was 3 years ago: 11 years - 3 years = 8 years. Then double that age to find how old Bethany was three years ago: 8 years * 2 = 16 years. Then add 3 years to that number to find how old Bethany is now: 16 years + 3 years = 19 years.


Q: Two vampires have come to the sleepy village of Willowton, population 300. Every night, each vampire turns 5 more people into vampires. How many vampires are there after two nights?
A: 72
Step-by-step reasoning process: First find the number of new vampires after one night: 5 people / vampire * 2 vampires = 10 people. Add that to the starting number of vampires to find the total number of vampires after one night: 10 vampires + 2 vampires = 12 vampires. Then find the number of new vampires on the second night: 5 people / vampire * 12 vampires = 60 people. Add that number to the starting number of vampires on the second night to find the total number of vampires after two nights: 60 vampires + 12 vampires = 72 vampires.