Reasoning and answer: First figure out how many total flowers Martha is going to buy by dividing her total spending by the price per flower: $2700 / $15 / flower = 180 flowers. Now figure out how many flowers are in each centerpiece by dividing the total number of flowers by the number of centerpieces: 180 flowers / 6 centerpieces = 30 flowers / centerpiece. Now figure out how many orchids are in each centerpiece by multiplying the number of roses per centerpiece by 2: 8 roses / centerpiece * 2 = 16 orchids / centerpiece. Now subtract the number of roses and orchids per centerpiece from the total number of flowers per centerpiece to find the number of lilies per centerpiece: 30 flowers - 16 orchids - 8 roses = 6 lilies.
The answer: 6
What was the question?
Question: Martha is making centerpieces for her Thanksgiving dinner. There are six centerpieces, and each centerpiece uses 8 roses, twice as many orchids as roses, and a certain number of lilies. If Martha wants to spend $2700 total, and each flower costs $15, how many lilies will she put in each centerpiece?
Madeline spends 4 * 7 = 28 hours on homework. She spends 8 * 7 - 56 hours sleeping. Therefore, she is busy 28 + 18 + 56 + 20 = 122 hours per week. There are 7 * 24 = 168 hours per week. Thus, Madeline has 168 - 122 = 46 hours left over.
The answer: 46
Reverse engineering the question: Madeline spends 18 hours a week in class. She spends 4 hours per day working on homework. She spends 8 hours per day sleeping. She works part-time 20 hours per week. How many hours left over does Madeline have?
Reasoning and answer: Sales tax is 8 / 100 x $150 = $12. Therefore, Pauline wil spend $150 + $12 = $162, including sales tax.
The answer: 162
What was the question?
Question: Pauline is buying school supplies. The total amount of all the items she wants to buy add up to $150 before sales tax. Sales tax is 8% of the total amount purchased. How much will Pauline spend on all the items, including sales tax?
James delivers 10 x 20 = 200 bags a day. So, he can deliver 200 x 5 = 1000 bags in 5 days.
The answer: 1000
Reverse engineering the question: James took a job delivering groceries in his neighborhood. He can carry 10 bags on each trip. If he takes 20 trips a day, how many bags does he deliver in 5 days?
Reasoning and answer: George's turtle finished 2 minutes quicker than Greta's so 6 - 2 = 4 minutes to finish. Gloria's turtle took twice as long as George's turtle, who finished in 4 minutes so 2 * 4 = 8 minutes.
The answer: 8
What was the question?
Question: Greta, George and Gloria entered their turtles in the Key West Turtle Race. Greta's turtle finished the race in 6 minutes. George's turtle finished 2 minutes quicker than Greta's. Gloria's turtle took twice as long as George's turtle. How long did it take Gloria's turtle to finish the race?
Reasoning and answer: Lavinia's daughter is 12 - 10 = 2 years old. Lavinia's son is 12 * 2 = 24 years old. Lavinia's son is 24 - 2 = 22 years older than Lavinia's daughter.
The answer: 22
What was the question?
Question:
Lavinia's daughter is 10 years younger than Katie's daughter. Lavinia's son is 2 times the age of Katie's daughter. If Katie's daughter is 12 years old, how many years older is Lavinia's son than Lavinia's daughter?