If the final number of geese was 12, which included the 4 that joined from the trees, then before these 4 joined, there were 12 - 4 = 8 geese in the sky. Since these 8 geese represent the half of geese remaining, then the initial formation contained 8 * 2 = 16 geese.
The answer: 16
Reverse engineering the question: Albert noticed a flock of geese flying together in a V formation in the sky overhead. One half of the geese broke off from the formation, flew toward the earth, and landed in some trees. Then, 4 geese flew up, out of the trees, and joined those already flying in the air to make a new V formation in the sky. If the final number of geese flying in the V formation was 12, how many geese were in the first formation Albert noticed in the sky?


Reasoning and answer: Start by figuring the number of pounds Baxter bought. $105 / $3 per pound = 35 pounds of peanuts. 35 pounds bought - 15 pounds minimum = 20 pounds over.
The answer: 20
What was the question?
Question: At Peanut Emporium, peanuts cost $3 per pound with a 15-pound minimum. If Baxter spent $105 on peanuts, how many pounds over the minimum did he purchase?


Let’s use r for the cost of each necklace. 4 * 12 + 8 * r = 80. 48 + 8 * r = 80. 8 * r = 80 - 48 = 32. 8r = 32. r = 4 dollars for each ring.
The answer: 4
Reverse engineering the question: Linda makes and sells necklaces at craft fairs. At her most recent fair she sold 4 necklaces and 8 rings for a total of $80. If each necklace costs $12, how much does each ring cost?


Reasoning and answer: Jerica = 2 * 14 = 28. Matilda = 28 + 7 = 35. Matilda is 35 years old.
The answer: 35
What was the question?
Question: Jerica is twice Louis' age. Matilda is 7 years older than Jerica. If Louis is 14, how many years old is Matilda?


The total length cut from the 51 - meter ribbon is 100 x 15 centimeters = 1500 centimeters. Since 1 meter is equal to 100 centimeters, then 1500 centimeters is equal to 1500 / 100 = 15 meters. Therefore, 51 - 15 = 36 meters of ribbon remains.
The answer: 36
Reverse engineering the question: If 100 pieces, each 15 centimeters long, are cut from a 51-meter long ribbon, how much ribbon remains ?


First, we need to determine how many slices the pizza was cut into. To do this, we start by performing 1 * 2 = 2 slices after the pizza was cut in half once. Each of these slices was cut in half again, yielding 2 * 2 = 4 slices in total. Next, we divide the total amount of pepperoni slices by the number of pizza slices, as the pepperoni was spread evenly. We find there are 40 / 4 = 10 slices of pepperoni per pizza slice. Since 1 slice of pepperoni fell off Jelly's slice, this means there are 10 - 1 = 9 slices left on her slice.
The answer: 9
Reverse engineering the question:
Lard decides to share a pizza with his friend Jelly. He takes a whole, uncut pepperoni pizza and cuts it in half. He then cuts these halves in half and gives one of the slices to Jelly. Assuming the pizza started with 40 evenly spread slices of pepperoni, how many slices of it are on the slice Lard gives Jelly if 1 of them falls off the slice when Lard picks it up?