[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?
[Answer]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 is 9.
Q: Brad wanted to set up a lemonade stand to earn some money. Every gallon of lemonade would yield 16 glasses. He figured it would cost him $3.50 to make every gallon of lemonade. He made 2 gallons to sell and decided he would sell each glass for $1.00 He drank 5 glasses while sitting in his stand. He sold all but 6 glasses of lemonade. How much net profit did Brad earn?
A: He made 2 gallons and each gallon had 16 glasses so 2 * 16 = 32 glasses. He drank 5 glasses and had 6 left over which means he would not earn money on 5 + 6 = 11 glasses. The total revenue would come from 32 - 11 = 21 glasses. Each gallon cost $3.50 to make so the total cost was 2 * 3.50 = $7.00. He sold 21 glasses at $1.00 per glass for a total of 1 * 21 = $21.00. When you take his earnings of $21.00 and subtract the cost of $7.00 his total net profit was 21 - 7 = $14.00. The answer is 14.
Question: Jame is trying to learn to tear playing cards. He can tear 30 cards at a time. A new deck of cards has 55 cards if you include the jokers and blank cards. He tears cards 3 times a week. If he buys 18 decks how many weeks can he go?
Answer: He tears 30 * 3 = 90 cards a week. He bought 55 * 18 = 990 cards. So he can tear for 990 / 90 = 11 weeks. The answer is 11.
[Question]Janice's office is on the third floor, and she has to walk up 3 flights of stairs to get to her office. In a single day, she goes up the three flights of stairs 5 times, down the the three flights of stairs 3 times, and uses the elevator the remainder of the time. How many flights of stairs does Janice walk (up and down) in a single day?
[Answer]Janice walks up 3 flights of stairs 5 times per day, for a total of 3 * 5 = 15 flights of stairs. Janice walks down 3 flights of stairs 3 times per day, for a total of 3 * 3 = 9 flights of stairs. In total, she walks 15 + 9 = 24 flights of stairs in a single day. The answer is 24.
Q: Beth is looking at her book collection and is wondering how many comic books she owns. She has 120 books and 65% are novels. 18 are graphic novels. The rest are comic books. What percentage of comic books does she own?
A: The proportion of graphic novels is .15 because 18 / 120 = .15. The percentage of graphic novels is 15 because 100 x .15 = 15. The percentage of comic books is 20 because 100 - 65 - 15 = 20. The answer is 20.
Question: Karen is packing her backpack for a long-distance hike. She packs 20 pounds of water, 10 pounds of food, and 20 pounds of gear. During her hike, she drinks 2 pounds of water per hour and eats 1/3rd the weight of food per hour as water per hour. How much weight is she carrying after six hours?
Answer:
First find the weight of food Karen eats every hour: 2 pounds * 1 / 3 = 2 / 3 pounds food. Then find the total amount of weight Karen's backpack loses per hour she hikes: 2 pounds water / hour + 2 / 3 pound food / hour = 8 / 3 pounds / hour. Multiply this by the number of hours she hikes to find the total amount of weight she loses: 8 / 3 pounds / hour * 6 hours = 16 pounds. Add the weight of all her items to find total starting weight: 20 pounds + 10 pounds + 20 pounds = 50 pounds. Then subtract the weight she loses from the starting weight to find the weight after 6 hours: 50 pounds - 16 pounds = 34 pounds. The answer is 34.