Reasoning and answer: Bowen bought 2 / 5 * 40 pens = 16 more pencils than pens. The total number of pencils that he bought is 40 pencils + 16 pencils = 56 pencils. If each pencil costs twenty - five cents, the total amount of money he spent on pencils is 56 pencils * $0.25 / pencil = $14. On pens, Bowen spent $0.15 / pen * 40 pens = $6. The total amount of money Bowen spent is $14 + $6 = $20.
The answer: 20
What was the question?
Question: At A.T. Cross Luxury Pens, a pencil sells at twenty-five cents while a pen sells at fifteen cents. Bowen buys 40 pens and 2/5 times more pencils than pens from A.T. Cross Luxury Pens. Calculate the total amount of money Bowen spends.
He spent 3 * 50 = 150 minutes cutting women's hair. He spent 2 * 15 = 30 minutes cutting men's hair. He spent 3 * 25 = 75 minutes cutting children's hair. He spent a total of 150 + 30 + 75 = 255 minutes.
The answer: 255
Reverse engineering the question: It takes 50 minutes to cut a woman's hair, 15 minutes to cut a man's hair, and 25 minutes to cut a kid's hair. If Joe cut 3 women's, 2 men's, and 3 children's hair, how much time did he spend cutting hair?
Reasoning and answer: Their total age is 15 because 3 x 5 = 15. 15 - X - 2X - (X - 1) is equivalent to 16 = 4X. Maiya is 4 years old because 16 / 4 = 4.
The answer: 4
What was the question?
Question: Maiya has two sisters. The first sister is twice as old as Maiya. The first sister is 1 year younger than Maiya. Their average age is 5. How old is Maiya?
The blue light bulb comes on every 2 seconds so it will be on after 2, 4, 6, 8, 10, 12, 14... seconds (multiples of 2). The red light bulb comes on every 3 seconds so it will be on after 3, 6, 9, 12, 15, 18... seconds (multiples of 3). The blue light bulb comes on every 4 seconds so it will be on after 4, 8, 12, 16, 20... seconds (multiples of 4). The shortest time after which all three will be on is 12 seconds which is the least common multiple of the set of multiples.
The answer: 12
Reverse engineering the question: A party hall has 3 decorative light bulbs; a red light bulb which comes on every 2 seconds, a green one every 3 seconds and a blue one every 4 seconds. If they are put on at the same time, what is the shortest time after which the three bulbs will be on at the same time?
Reasoning and answer: Elyse gave half of her 100 pieces of gum, or 100 / 2 = 50 pieces of gum, to Rick. Rick gave half of his 50 pieces of gum, or 50 / 2 = 25 pieces of gum, to Shane. Shane had 25 pieces of gum and chewed 11, so he had 25 11 = 14 pieces of gum left.
The answer: 14
What was the question?
Question: Elyse had 100 pieces of gum. She gave half to her brother Rick. He gave half of his to his friend Shane. Shane chewed 11 pieces of gum. How many pieces does Shane have left?
Reasoning and answer: First find the total amount of time Dan spends digging adult graves: 3 hours / grave * 5 graves = 15 hours. Then add the time to dig the child's grave to find the total time he spends digging: 15 hours + 2 hours = 17 hours.
The answer: 17
What was the question?
Question:
Dan is digging graves for a family killed by COVID-19. If it takes Dan 3 hours to dig an adult grave and 2 hours to dig a child's grave, how long does it take him to dig 5 adult graves and one child's grave?