Reasoning and answer: The hotel has in total 10 floors * 10 rooms / floor = 100 rooms. One floor is unavailable, so Hans could be checked into 100 rooms - 10 rooms = 90 available rooms.
The answer: 90
What was the question?
Question: Hans booked a room in a hotel. The hotel has 10 floors with 10 identical rooms on each floor. Because of an accident, the last floor is unavailable for the guests. Considering there are no other guests, in how many different rooms could Hans be checked in?
Faith must pay $28 + $5 = $33 for the flour and cake stand. Her two $20 bills amount to $20 x 2 = $40. So, she gave the cashier a total of $40 + $3 = $43. Hence, her change is $43 - $33 = $10.
The answer: 10
Reverse engineering the question: Faith went to a baking shop and bought flour that cost $5 and a cake stand that costs $28. She then gave the cashier two $20 bills and $3 in loose coins. How much change will she receive?
Reasoning and answer: First find the total number of pieces of candy Anna gets: 14 pieces / house * 60 houses = 840 pieces. Then find the total number of pieces of candy Billy gets: 11 pieces / house * 75 houses = 825 pieces. Then subtract the number of pieces Billy gets from the number Anna gets to find the difference: 840 pieces - 825 pieces = 15 pieces.
The answer: 15
What was the question?
Question: Anna goes trick-or-treating in a subdivision where she gets 14 pieces of candy per house. Her brother Billy goes trick-or-tricking in a neighboring subdivision where he gets 11 pieces of candy per house. If the first subdivision has 60 houses and the second subdivision has 75 houses, how many more pieces of candy does Anna get?
Jesse runs 2 miles in the first three days because 3 x (2 / 3) = 2. Jesse has 18 miles left to run because 30 - 10 - 2 = 18. Jesse has to run an average of 6 miles a day because 18 / 3 = 6. Mia runs 12 miles over the first four days because 4 x 3 = 12. She has 18 miles left to run because 30 - 12 = 18. She has to run six miles a day because 18 / 3 = 6. The total they both have to run is 12 miles a day. The average they have to run per day on average is 6 miles because 12 / 2 = 6.
The answer: 6
Reverse engineering the question: Jesse and Mia are competing in a week long race. They have one week to run 30 miles. On the first three days Jesse averages (2/3) of a mile. On day four she runs 10 miles. Mia averages 3 miles a day over the first 4 days. What is the average of their average that they have to run over the final three days?
Reasoning and answer: Catherine gave eight pens to each of her seven friends, a total of 8 * 7 = 56 pens. She remained with 60 - 56 = 4 pens. When she also gave 6 pencils to each of her seven friends, she gave away 6 * 7 = 42 pencils. Since she had the same number of pencils as pens, she remained with 60 - 42 = 18 pencils. The total number of pens and pencils that Catherine remained with is 4 + 18 = 22.
The answer: 22
What was the question?
Question: Catherine had an equal number of pencils and pens. If she had 60 pens and gave eight pens and 6 pencils to each of her seven friends and kept the rest for herself, how many pens and pencils did she have left?
Reasoning and answer: Beth and Jan scored a total of 12 + 10 = 22. Judy and Angel scored a total of 8 + 11 = 19. Thus, the first team scores 22 - 19 = 3 more points than the second team.
The answer: 3
What was the question?
Question:
In the first team, Beth scored 12 while Jan scored 10. In the second team, Judy scored 8 while Angel scored 11. How many more points did the first team get than the second team?