Q: Nancy replaced all of the old vinyl tiles in her bathroom with new hardwood flooring. She replaced flooring in two areas of the bathroom: a 10 foot by 10 foot central area, and a 6 foot by 4 foot hallway. How many square feet of hardwood flooring did Nancy install in her bathroom?
A: 10 feet by 10 feet central area is 10 * 10 = 100 square feet of space. 6 feet by 4 feet hallway is 4 * 6 - 24 square feet of space. Combined, the two areas where she replaced flooring contain 100 + 24 = 124 square feet of space. The answer is 124.
Question: Martin rings the small bell 4 times more than 1/3 as often as the big bell. If he rings both of them a combined total of 52 times, how many times does he ring the big bell?
Answer: Let s be the number of times the small bell rings, and b be the number of times the big bell rings. We know that s + b = 52 and s = 4 + 1 / 3b. Substituting the second equation into the first equation, we get 4 + 1 / 3b + b = 52. Subtracting 4 from both sides, we get 1 / 3b + b = 48. Combining like terms, we get 4 / 3b = 48. Dividing both sides of the equation by 4 / 3, we get b = 36. The answer is 36.
[Question]Angie bought 3 lbs. of coffee at the store today. Each lb. of coffee will brew about 40 cups of coffee. Angie drinks 3 cups of coffee every day. How many days will this coffee last her?
[Answer]A pound of coffee makes 40 cups of coffee, so 3 lbs. coffee * 40 cups of coffee per lb. = 120 cups of coffee. Angie drinks 3 cups of coffee a day, so she has enough coffee to last her 120 cups of coffee / 3 cups of coffee per day = 40 days. The answer is 40.
Q: Richard starts walking from Cincinnati to New York City, which is 70 miles. Richards walks 20 miles the first day. The next day he walks 6 miles less than half as much as he walked the first day. He walks 10 miles the third day. How many miles further does Richard have to walk to be in New York City?
A: The second day Richard walks 20 / 2 - 6 = 4 miles. Richard walks 20 + 4 + 10 = 34 total miles. Richard has 70 - 34 = 36 miles further to walk to be in New York City. The answer is 36.
Question: Barney washes his kitchen towels once a week. He owns eighteen towels and uses two at a time that he changes to clean towels daily. He missed one week of laundry. How many days the following week will Barney not have clean towels?
Answer: Barney uses 2 clean towels every day, so he uses 2 * 7 = 14 towels a week. He missed one week of laundry, so he would need 2 * 14 = 28 towels for 2 weeks. He owns 18 towels, so he has 28 - 18 = 10 less than he needs. Thus, Barney will not have clean towels on 10 / 2 = 5 days. The answer is 5.
Q: 40% of the mosquitos in Jack's area are infected with malaria. 20% of the mosquitos are infected with Zika virus. Without a vaccine, the chances of getting infected with either virus after getting bitten by an infected mosquito are 50%. Jack is taking an experimental malaria vaccine that reduces the chances of getting infected after getting bitten by 50%. If Jack gets bitten by a random mosquito, what is the percentage chance he catches either Zika virus or malaria?
A:
First find Jack's chances of getting bitten by an infected mosquito: 40% + 20% = 60%. The chance of being infected by a mosquito with after being bitten: 60% * 50% = 30%. Then find the chances of getting ill after receiving the vaccine: 30% * 50% = 15%. The answer is 15.