First find how old Bethany's sister currently is: 16 years - 5 years = 11 years. Then find how old her sister was 3 years ago: 11 years - 3 years = 8 years. Then double that age to find how old Bethany was three years ago: 8 years * 2 = 16 years. Then add 3 years to that number to find how old Bethany is now: 16 years + 3 years = 19 years.
The answer: 19
Reverse engineering the question: Three years ago, Bethany was twice the age of her younger sister. In 5 years, her younger sister will be 16. How old is Bethany now?
Reasoning and answer: Brian requires a total of $3.50 + $3.50 = $7 to pay for the round trip subway fare. We also know he has spent half (1 / 2) the amount he spent on kiwis on bananas, so he'll spend (1 / 2) * $10 = $5 on bananas. So far in total he has spent $7 for his subway fare + $5 on bananas + $10 on kiwis = $7 + $5 + $10 = $22. If he left his house with only $50, then all he will have left for apples would be $50 - $22 = $28. If a bag of apples costs $14, then Brian would only be able to buy a maximum of $28 / $14 = 2 bags of apples. If each bag of apples has a dozen (12) apples, then (2) two bags will have 12 * 2 = 24 apples.
The answer: 24
What was the question?
Question: A bag of dozen apples costs $14 and Brian has already spent $10 on kiwis and half that much on bananas. What's the maximum number of apples Brian can buy if he left his house with only $50 and needs to pay the $3.50 subway fare each way?
To determine the number of ducks at North Pond, we must first perform 100 * 2 = 200 to find the number to add 6 ducks to. We then take this number and add 6 to it, performing 200 + 6 = 206 ducks in total at North Pond.
The answer: 206
Reverse engineering the question: Six more than twice as many ducks go to North Pond as go to Lake Michigan. If Lake Michigan has 100 ducks, how many ducks can you safely estimate there will be at North Pond?
Reasoning and answer: Aaron eats 1 / 2 * 30 sweets + 1 / 2 * 40 sweets + 1 / 2 * 50 sweets = 60 candy sweets. The packet of candy sweets still has 60 sweets - 5 sweets = 55 candy sweets.
The answer: 55
What was the question?
Question: A packet of candy sweets has 30 cherry-flavored sweets, 40 strawberry-flavored sweets, and 50 pineapple-flavored sweets. Aaron eats half of each of the flavored sweets and gives 5 cherry-flavored sweets to his friend. How many sweets are still in the packet of candy?
Three - quarters of oil from the initially full 4000 - liter tank would be 4000 * (3 / 4) = 3000 liters. In addition to the 3000 liters that were already in the large tanker, there are 3000 + 3000 = 6000 liters in it now. The tanker would be filled to half capacity by (1 / 2) * 20000 = 10000 liters of oil. There are 10000 - 6000 = 4000 liters left to reach half capacity.
The answer: 4000
Reverse engineering the question: Three-quarters of the oil from a 4000-liter tank (that was initially full) was poured into a 20000-liter capacity tanker that already had 3000 liters of oil. How many more liters of oil would be needed to make the large tanker half-full?
Each dress takes 4 square meters of fabric to make, so the number of dresses she can make will be 56 / 4 = 14 dresses. Each dress takes 3 hours to make, thus she will have to work 14 dresses x 3 hours / dress = 42 hours.
The answer: 42
Reverse engineering the question:
Melissa wants to make some dresses to sell at the upcoming festival. She has 56 square meters of fabric to make them. She knows that each dress takes 4 square meters of fabric and 3 hours to make. How many hours does she have to work?