Reasoning and answer: If there are 12 uniforms, and the lab coats are 6 times as many as the number of uniforms, there are 6 * 12 = 72 lab coats. The total number of lab coats and uniforms in the lab is 72 + 12 = 84. If the number of lab techs is half the number of uniforms, then there are 12 / 2 = 6 lab techs. If they share the lab coats and uniforms equally, each lab tech will get 84 / 6 = 14 lab coats and uniforms.
The answer: 14
What was the question?
Question: There are 6 times as many lab coats as uniforms in the lab. The number of lab techs is half of the number of uniforms. If there are 12 uniforms in the lab, and the lab techs share the coats and uniforms equally among them, how many coats and uniforms in total does each lab tech get?


12 * 12 = 144 square meters. 8 * 5 = 40 square meters. 144 - 40 = 104 square meters. 104 square meters of the playground are not covered by the maintenance building.
The answer: 104
Reverse engineering the question: There is a square playground that has a side length of 12 meters. There is a maintenance building on the playground that measures 8 meters by 5 meters. How many square meters of the playground is not covered by the maintenance building?


Reasoning and answer: Every two weeks, Grace will get 300 * 2 = 600 dollars. It will take Grace 1800 / 600 = 3 2 - week intervals to get 1800 dollars. It will take Grace 3 * 2 = 6 weeks in total.
The answer: 6
What was the question?
Question: Grace just started her own business. Each week, she charges 300 dollars. Grace's client will pay her every 2 weeks. How many weeks will it take for Grace to get 1800 dollars?


There will be 18 members and she wants to allow 2 biscuits per member so that’s 18 * 2 = 36 biscuits. Her biscuit recipe yields 9 biscuits and she needs to make 36 biscuits so she needs to make 36 / 9 = 4 batches of biscuits. 1 batch of biscuits uses 1 1 / 4 cup flour and she needs to make 4 batches so she will use 1.25 * 4 = 5 cups of flour.
The answer: 5
Reverse engineering the question: Lady Bird uses 1 1/4 cup flour to make 9 biscuits. She’s hosting this month's Junior League club which has 18 members and wants to make sure she allows 2 biscuits per guest. How many cups of flour will Lady Bird need?


Reasoning and answer: She originally dropped 5000 / 25 = 200 kernels of popcorn. The squirrel ate 200 / 4 = 50 kernels of popcorn. Therefore, 200 - 50 = 150 kernels of popcorn remain on the ground.
The answer: 150
What was the question?
Question: Jenny lives 5000 feet from her school, and every day she walks home. One day as she was walking home from school, she dropped 1 kernel of popcorn per 25 feet she walked. Later that evening, a squirrel came and ate one-quarter of the popcorn Jenny had dropped on her way home. If Jenny walks to school the following morning and counts the popcorn on the ground, what is the total number of popcorn kernels she will find remaining on the ground?


Reasoning and answer: Armand = (1 / 3) * 12 = 4 hours. Ella = 2 * 12 = 24 hours. Total hours = 12 + 4 + 24 = 40 hours. They worked a total of 40 hours.
The answer: 40
What was the question?
Question:
Amber worked for 12 hours last weekend. Armand worked one-third as long and Ella worked twice as long. How many hours did the 3 people work in total?