Q: A man owned 1/2 of a lot. He sold 1/10 of his share for the amount of $460. What is the worth of the entire lot?
A: If 1 / 10 of the man's lot is equal to $460, then the man's land is worth $460 x 10 = $4600. Since 1 / 2 of the whole lot is worth $4600, then the whole lot is worth $4600 x 2 = $9200. The answer is 9200.
Question: Alex has 2 cakes that are each cut into 8 slices. A fourth of the slices are given away to his friends. A third of the remaining slices are given away to his family. Alex eats 3 slices. How many slices of the cake are left?
Answer: There are 2 * 8 = 16 slices of cake. There are 16 / 4 = 4 slices. There are 16 - 4 = 12 slices left. There are 12 / 3 = 4 slices given away. There are 12 - 4 - 3 = 5 slices of cake left. The answer is 5.
[Question]Paul lives in a 5th story apartment. He makes 3 trips out from and back to his apartment throughout the day each day of a week. How many feet does he travel vertically in total over the week if each story is 10 feet tall?
[Answer]Since Paul makes 3 trips per day, and each trip involves going both down and up, this means he travels the full vertical distance of his apartment complex 3 * 2 = 6 times a day. Since there are 7 days in a week, this means he makes this trip 6 * 7 = 42 times a week. Since each story is 10 feet tall, that means with 5 stories he travels 5 * 10 = 50 feet each trip. Since he made 42 trips of 50 feet each, this means he traveled 50 * 42 = 2100 feet in a week. The answer is 2100.
Q: Samir just turned half the age Hania was 10 years ago. If in five years Hania will be 45 years old, what will Samir's age be five years from now?
A: If in five years, Hania will be 45 years old, currently she is 45 - 5 = 40 years old. Ten years ago, Hania was 40 - 10 = 30 years old. Samir just turned half the age Hania was 10 years ago, which means she is 30 / 2 = 15 years old. In five years, Samir will be 15 + 5 = 20 years old. The answer is 20.
Question: 24 gallons per second of water flows down a waterfall. If you have an empty basin that can hold 260 gallons of water. The basin leaks water at 4 gallons per second. how long would it take to fill the basin with water from the waterfall in seconds?
Answer: 24 gallons in minus 4 gallons out is 24 - 4 = 20 gallons per second. 260 gallons divided by 20 gallons per second 260 / 20 = 13 seconds. The answer is 13.
Q: $240 was divided between Kelvin and Samuel. Samuel received 3/4 of the money. From his share, Samuel then spent 1/5 of the original $240 on drinks. How much does Samuel have left?
A:
Samuel received 3 / 4 of $240, which is $240 * (3 / 4) = $180. He spent 1 / 5 of $240, which is $240 * (1 / 5) = $48. He spent this amount from his own share, so he has $180 - $48 = $132 left. The answer is 132.