Let x represent the number of true / false questions. Free response:x + 7. Multiple choice: 2(x + 7) = 2x + 14. Total:x + x + 7 + 2x + 14 = 45. 4x + 21 = 45. 4x = 24. x = 6 true / false questions.
The answer: 6
Reverse engineering the question: Stacy is a high school Calculus teacher. She assigns 45 problems for homework. There are twice as many multiple choice problems as free response, and 7 more free response than true/false. How many true/false questions are there?
Reasoning and answer: Samara = 25 + 467 + 79 = $571. 2457 - 571 = $1886. Alberto spent $1886 more on his car.
The answer: 1886
What was the question?
Question: Alberto spent $2457 on a new engine for his car. Samara spent $25 on oil, $467 on tires and $79 on detailing for her car. How many more dollars did Alberto spend on his car?
In one party, the total amount of money collected from the football players is $40 * 60 = $2400. If eight such parties are done in a year, the total amount of money collected from the parties is $2400 * 8 = $19200.
The answer: 19200
Reverse engineering the question: To get admission into a school party, each football team member must pay $40. If there are 60 players on the football team and the entire team attends 8 such parties in a year, calculate the total amount of money collected in the 8 parties.
Reasoning and answer: Let H = distance Hiro walked. 4H - 10 = distance Rajesh walked. H + 4H - 10 = 25. 5H - 10 = 25. 5H = 35. Hiro walked 7 km so Rajesh walked 4(7) - 10 = 18 km. Rajesh walked 18 kilometers.
The answer: 18
What was the question?
Question: Rajesh walked 10 kilometers less than 4 times the distance that Hiro walked. Together they walked 25 kilometers. How many kilometers did Rajesh walk?
Tom served on Monday to 8 * 10 = 80 clients. So Tom earned 20 / 100 * 80 = 16 bonus points.
The answer: 16
Reverse engineering the question: In a certain company, for every customer served, an employee gets as many bonus points, as 20% of the number of customers served. On Monday, Tom served 10 customers per hour for 8 hours. How many bonus points did Tom earn that day?
Hillary sells 3 crafts for 12 dollars each, for a total of 3 crafts * $12 / craft = $36. She receives an extra 7 dollars from a customer, increasing the total to $36 + $7 = $43. She then deposits 18 dollars in the bank, leaving her with $43 - $18 = $25.
The answer: 25
Reverse engineering the question:
At a flea market, Hillary sells handmade crafts for 12 dollars per craft. Today, Hillary sells 3 crafts and is given an extra 7 dollars from an appreciative customer. Later on, Hillary deposits 18 dollars from today's profits into her bank account. How many dollars is Hillary left with after making the deposit?