Q: 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?
A: 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: Amanda is figuring out how many bags of grass seed she needs to buy to cover a new lot the city is turning into a park. The lot measures 120 feet by 60 feet. One section that measures 40 feet by 40 feet will be covered with concrete, and the rest needs to be covered in grass seeds. Each bag of grass seeds covers 56 square feet. How many bags of grass seeds does Amanda need?
Answer: First find the area of the lot by multiplying the width and the length: 120 ft * 60 ft = 7200 sq ft. Then find the area of the square covered in concrete: 40 ft * 40 ft = 1600 sq ft. Then subtract the concrete area from the total area to find the grassy area: 7200 sq ft - 1600 sq ft = 5600 sq ft. Finally, divide this area by the area each bag covers to find the number of bags: 5600 sq ft / 56 sq ft / bag = 100 bags. The answer is 100.
[Question]In a Math competition, Sammy scored 20 points, Gab scored twice as many as Sammy's score, while Cher scored twice as many as Gab's score. If their opponent scored 85 points, how many more points do they have than their opponent?
[Answer]Gab scored 20 x 2 = 40 points. Cher scored 40 x 2 = 80 points. Their team scored 20 + 40 + 80 = 140 points. Therefore, they scored 140 - 85 = 55 more points than their opponent. The answer is 55.
Q: A competition has racers competing on bicycles and tricycles to win a grand prize of $4000. If there are 40 people in the race, and 3/5 of them are riding on bicycles, how many wheels do the bicycles and tricycles in the race have combined?
A: If 3 / 5 of the people in the race are riding bicycles, their number is 3 / 5 * 40 people = 24 people. Since a bicycle has 2 wheels, and 24 people were riding on a bicycle each, the total number of bicycle wheels in the race is 2 wheels / bike * 24 bikes = 48 wheels. The number of racers on tricycles is 40 people - 24 people = 16 people. Since a tricycle has 3 wheels, and 16 people were riding on a tricycle each, the total number of tricycle wheels in the race is 3 wheels / trike * 16 trikes = 48 wheels. The combined total for bicycle and tricycle wheels in the race is 48 wheels + 48 wheels = 96 wheels. The answer is 96.
Question: Ross takes 17 breaths per minute by inhaling 5/9 liter of air to his lungs. What is the volume of air inhaled in 24 hours?
Answer: We have 60 minutes per hour. So, in 24 hours we have 60 * 24 = 1440 minutes. So, the volume of air Ross inhaled in 24 hours is: 17 breaths / minute * 5 / 9 L / breath * 1440 minutes = 122400 / 9 = 13600 liters. The volume of air inhaled is 13600 liters. The answer is 13600.
Q: Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
A:
Weng earns 12 / 60 = $0.2 per minute. Working 50 minutes, she earned 0.2 x 50 = $10. The answer is 10.