[Question]A TV show costs $100,000 per episode for the first season and twice that much for every other season. The first season had 12 episodes, and every season after that had 50% more episodes except the last season, which had 24 episodes. The show had 5 seasons. How much did it cost to produce all the episodes?
[Answer]The first season cost 12 * 100,000 = $1,200,000. Season 2 - 4 had 12 * .5 = 6 more episodes per season than the first. So they each had 12 + 6 = 18 episodes. That means there were 18 * 3 + 24 = 78 episodes in the last 4 seasons. So those episodes cost 2 * 100,000 = $200,000. For a total cost of 200,000 * 78 = $15,600,000. So the total cost was 15,600,000 + 1,200,000 = $16,800,000. The answer is 16800000.
Q: Two buses leave a pick-up point station with 60% and 70% of capacity full, respectively. If the people in the buses are all employees of a company, and the buses have a capacity of 150, calculate the total number of the employees in the two buses combined?
A: If the first bus is 60% full, it has 60 / 100 * 150 = 90 passengers. The second bus is 70% full, meaning it has 70 / 100 * 150 = 105 passengers. The total number of people in the two buses is 105 + 90 = 195. The answer is 195.
Question: Chelsea made 4 batches of cupcakes for the bake sale. The cupcakes took 20 minutes to bake and 30 minutes to ice per batch. How long did it take Chelsea to make the cupcakes?
Answer: Chelsea baked 4 batches of cupcakes x 20 minutes each = 80 minutes of baking. She iced 4 batches of cupcakes x 30 minutes each = 120 minutes. It took Chelsea 80 + 120 = 200 minutes to make the cupcakes for the bake sale. The answer is 200.
[Question]Jimmy is a pizza delivery man. Each pizza costs 12 dollars and the delivery charge is 2 extra dollars if the area is farther than 1 km from the pizzeria. Jimmy delivers 3 pizzas in the park, which is located 100 meters away from the pizzeria. Also, he delivers 2 pizzas in a building 2 km away from the pizzeria. How much money did Jimmy get paid for the pizzas?
[Answer]Adding the pizzas delivered in the park and in the building, Jimmy delivered a total of 2 + 3 = 5 pizzas. The value of the 5 pizzas without delivery charge is 5 pizzas * $12 / pizza = $60. The cost of the delivery charge for two pizzas is 2 pizzas * $2 / pizza = $4. In total, Jimmy got paid $60 + $4 = $64 for the pizzas. The answer is 64.
Q: Hasan is packing up his apartment because he’s moving across the country for a new job. He needs to ship several boxes to his new home. The movers have asked that Hasan avoid putting more than a certain weight in pounds in any cardboard box. The moving company has helpfully provided Hasan with a digital scale that will alert him if a package is too heavy. Hasan is in the kitchen, and he fills a cardboard box with 38 dinner plates. When he checks the box, the scale reports his box is too heavy. Hasan knows each of his plates weighs 10 ounces. He removes a single plate from the box and checks the movers’ scale again. The scale reports his box is still too heavy. Hasan repeats the process again and again. When he has removed enough plates, the movers’ scale shows the box is now an acceptable weight for shipping. Hasan deduces that each shipping box can hold 20 pounds before the scale says the box is too heavy. How many plates did Hasan need to remove from the shipping box?
A: Let x be the number of plates removed from the box. Hasan figured out the movers' weight limit was 20 pounds. Since a pound is equal to 16 ounces, each box can hold 20 * 16, or 320 ounces. Each plate weighs 10 ounces, so the weight of the plates in the box after Hasan removes enough plates to satisfy the movers' weight limit is (38 - x) * 10 ounces. Since these two values are equal, we can write the equation (38 - x) * 10 = 320. Dividing both sides by 10 leaves 38 - x = 32. Adding x to both sides gives 38 – x + x = 32 + x, or, 38 = 32 + x. Subtracting 32 from both sides gives the value of x, which is the number of plates removed from the box, 38 - 32 = 32 + x – 32, or, 6 = x. The answer is 6.
Question: Frank bakes two trays of cookies per day, for 6 days. Frank eats one cookie each day to make sure they taste good. Ted comes over on the sixth day and eats 4 cookies. If each tray makes 12 cookies, how many cookies are left when Ted leaves?
Answer:
Frank bakes 2 * 12 = 24 cookies per day. Frank bakes a total of 24 * 6 = 144 cookies. Frank eats 1 * 6 = 6 cookies. After Ted leaves, there are 144 - 6 - 4 = 134. The answer is 134.