The number of red cards in the box, 2 / 5 of the total number, is 2 / 5 * 120 = 48. The number of cards that are not red is 120 - 48 = 72. If 5 / 9 of the remaining cards are black, then there are 5 / 9 * 72 = 40 black cards in the box. If the remaining cards are green, then there are 72 - 40 = 32 green cards in the box.
The answer: 32
Reverse engineering the question: There are 120 cards in a box. If 2/5 of the cards are red, exactly 5/9 of the remainder are black, and the rest are green, calculate the number of green cards in the box?
Reasoning and answer: Vikki earnt 10 $42 = $420 in one week. She then gets taxed $420 0.2 = $84. She also loses $420 0.05 = $21 due to insurance. Vikki also pays $5 in union dues. In total Vikki loses $84 + $21 + $5 = $110 because of deductions. Her final total pay after deductions is $420 - $110 = $310.
The answer: 310
What was the question?
Question: Vikki worked 42 hours in one week. Her hourly pay rate is $10. From her weekly earnings, 20% is deducted as tax, 5% is deducted as insurance cover, and $5 is deducted for union dues. How much money, in dollars, does Vikki take home after deductions?
Michael has used a total of 30 matchstick houses * 10 matchsticks per matchstick house = 300 matchsticks. As he only used half of his collection for crafting, he must have originally had 300 matchsticks * 2 = 600 matchsticks.
The answer: 600
Reverse engineering the question: Michael has a lot of matchsticks at home and decides to use them to make miniature models. As he is about to start crafting, he has second thoughts and decides to only use half of his pile of matchsticks. He creates 30 matchsticks houses. If he has now used all of the matchsticks he intended to and each matchstick house uses 10 matchsticks, how many matchsticks did Michael have originally?
Reasoning and answer: The pasta is $1.00, the sauce is $2.00 and the meat is $5.00 for a total of 1 + 2 + 5 = $8.00. He wants to stretch this meal into 8 servings so each serving will cost 8 / 8 = $1.00.
The answer: 1
What was the question?
Question: Sam is serving spaghetti and meatballs for dinner. The pasta costs $1.00 per box, a jar of sauce is $2.00 and 1 pound of meatballs is $5.00. He wants to stretch this meal into 8 servings. How much does each serving cost?
For interrupting, Jerry got 5 points per interruption * 2 interruptions = 10 points. For insulting, he got 10 points per insult * 4 insults = 40 points. To get to the 100 limit points, Jerry has 100 points - 10 points - 40 points = 50 points left. He still has 50 points / 25 points per throw = 2 throws.
The answer: 2
Reverse engineering the question: Mrs. Carlton gives out penalty points whenever her students misbehave. They get 5 points for interrupting, 10 points for insulting their classmates, and 25 points for throwing things. If they get 100 points, they have to go to the office. Jerry already interrupted twice and insulted his classmates 4 times. How many times can he throw things before he gets sent to the office?
Knowing Kevin's record of eating 70 wings in 8 minutes or 64 / 8 = 8 wings in a minute. Alan must increase his ability to eat 5 wings per minute to 8 - 5 = 3 wings per minute to equal Kevin's world record. To beat Kevin, Alan must eat 3 + 1 = 4 hot wings per minute.
The answer: 4
Reverse engineering the question:
Kevin holds the world record for eating the biggest quantity of hot wings in 8 minutes. He can eat 64 wings without stopping. Alan, a boy who loves hot wings, wants to beat Kevin's record. He is currently able to eat 5 hot wings per minute. How many more wings must he eat per minute to beat Kevin's record?