Reasoning and answer: Twice 1.5 hours is 2 * 1.5 = 3 hours. Thus, on that day, it took Matthew 1 + 3 + 1 = 5 hours to make the cakes.
The answer: 5
What was the question?
Question: Matthew, the baker, arrives at work early every morning to make his famous caramel-apple coffee cakes for the day. It usually takes Matthew 1 hour to assemble ingredients, 1.5 hours to bake the cakes, and another 1 hour to decorate each cake with cinnamon sprinkles. One day, Matthew's oven failed to reach the correct temperature and it took twice as long for the cakes to bake as they usually take. On that day, how long did it take, in hours, for Matthew to make his famous caramel-apple coffee cakes?
Without the face cards and the 8's, there are 9 cards of each suit. Half these cards are red, and 3 / 9 have numbers divisible by 3, so the odds of drawing a card divisible by 3 are 1 / 3. Multiply the odds of drawing a red card by the odds of drawing a card divisible by 3 to find the odds of both things happening: 1 / 3 * 1 / 2 = 1 / 6. Finally, multiplying the probability of drawing a red / 3 - divisible card by the number of cards Mark draws to find how many he should expect to meet his criteria: 1 / 6 * 36 cards = 6 cards.
The answer: 6
Reverse engineering the question: Marcus takes a deck of standard playing cards and takes out all the face cards and the 8's. Mark picks a card at random and then replaces it 36 times. How many times should he expect to pick a card that's both red and has a number divisible by 3?
Reasoning and answer: Phoebe is having 20 guests and Monica charges $25.00 per person so that's 20 * 25 = $500.00. Phoebe is a repeat customer so she gets 10% off of $500.00 so that's .10 * 500 = $50.00 discount. Monica is charging $500.00 minus the repeat customer discount of $50.00 so she will make 500 - 50 = $450.00.
The answer: 450
What was the question?
Question: Monica charges $25.00 per person when catering a dinner party. For repeat customers, she offers a 10% discount. Phoebe is a repeat customer who is having a dinner party for 20 guests. How much will Monica make from the party?
Let r be the number of raccoons Jason pepper - sprays and s be the number of squirrels. We know that r + s = 84 and s = 6r. Substituting the second equation into the first equation, we get r + 6r = 84. Combining like terms, we get 7r = 84. Dividing both sides by 7, we get r = 12.
The answer: 12
Reverse engineering the question: Jason is tired of the neighborhood animals raiding his trash. He pepper-sprays some raccoons and 6 times as many squirrels. If he pepper-sprays 84 animals total, how many raccoons does he pepper-spray?
Reasoning and answer: He makes it in batches of 1.5 * 128 = 192 ounces. He drinks 96 / 2 = 48 ounces of coffee a day. So he drinks the coffee in 192 / 48 = 4 days. So in 24 days he makes 24 / 4 = 6 batches. That means he spends 6 * 20 = 120 hours making coffee.
The answer: 120
What was the question?
Question: Jack makes his own cold brew coffee. He makes it in batches of 1.5 gallons. He drinks 96 ounces of coffee every 2 days. It takes 20 hours to make coffee. How long does he spend making coffee over 24 days?
Reasoning and answer: When fishers caught 3 / 4 of the fish that swam westward, their total number reduced by 3 / 4 * 1800 fish = 1350. The total number of fish that remained from the total number that swam eastward is 1800 fish - 1350 fish = 450 fish. If fishers caught 2 / 5 of the fish that swam eastward, their total number reduced by 2 / 5 * 3200 fish = 1280 fish. 3200 fish - 1280 fish = 1920 fish remained in the sea from the number that swam westward. The total number of fish in the sea after fishers caught some is 500 of the number that went north + 450 of the fish that swam westward + 1920 of the fish that swam eastward = 2870 fish.
The answer: 2870
What was the question?
Question:
1,800 fish swim westward, 3,200 swim eastward, and 500 swim north. What is the number of fish left in the sea, if fishers catch 2/5 of the fish that swam eastward and 3/4 of the fish that swam westward?