[Question]A car manufacturing company that produces 100 cars per month wants to increase its production to reach 1800 cars per year. How many cars should the company add to the monthly production rate to reach that target?
[Answer]Let Y be the number of cars needed to be added to the current monthly production. Then ((100 + Y) * 12) = 1800. So 1200 + 12 * Y = 1800. 12 * Y = 1800 - 1200 = 600. Y = 600 / 12 = 50. The answer is 50.
Q: Two-thirds of the class have brown eyes. Half of the students with brown eyes have black hair. If there are 6 students in the class with brown eyes and black hair, how many students are there in total?
A: There are 6 * 2 = 12 students with brown eyes and hair of any color. There are 12 * 3 / 2 = 18 students in total. The answer is 18.
Question: Jess and her family play Jenga, a game made up of 54 stacked blocks in which each player removes one block in turns until the stack falls. The 5 players, including Jess, play 5 rounds in which each player removes one block. In the sixth round, Jess's father goes first. He removes a block, causing the tower to almost fall. Next, Jess tries to remove another block knocking down the tower. How many blocks did the tower have before Jess's turn?
Answer: In each round, the 5 players removed a total of 5 * 1 = 5 blocks. In the 5 rounds played, the players removed a total of 5 * 5 = 25 blocks. Adding the block removed by Jess's father in the sixth round, a total of 25 + 1 = 26 blocks were removed. Before the tower fell, there were 54 - 26 = 28 blocks. The answer is 28.
[Question]Jessica wrote a long letter to her aunt and needed to put stamps on it to mail it. She used eight pieces of paper that weigh 1/5 of an ounce each, and her envelope weighs 2/5 of an ounce. She needed one stamp per ounce. How many stamps did Jessica need to mail her letter?
[Answer]Jessica's papers weigh 8 * 1 / 5 = 8 / 5 ounces. The papers in the envelope weigh 8 / 5 + 2 / 5 = 10 / 5 = 2 ounces. Thus, Jessica needs 2 * 1 = 2 stamps to mail her letter. The answer is 2.
Q: Henry believes in the famous phrase, "An apple a day, keeps the doctor away." If a box contains 14 apples, how many weeks can Henry and his brother spend eating 3 boxes of apples if they each eat 1 apple a day?
A: There are a total of 14 apples / box x 3 boxes = 42 apples in the 3 boxes. So, Henry and his brother each have 42 apples / 2 people = 21 apples / person to consume. Since there are 7 days in a week, thus, both of them can consume the 3 boxes of apples in 21 / 7 = 3 weeks. The answer is 3.
Question: Studying for her test, Mitchell had read ten chapters of a book before 4 o'clock. When it clocked 4, Mitchell had read 20 pages of the 11th chapter of the book she was studying from. After 4 o'clock, she didn't read the remaining pages of chapter eleven but proceeded and read 2 more chapters of the book. If each chapter in the book had 40 pages, calculate the total number of pages that Mitchell had read altogether?
Answer:
Since each chapter of the book has 40 pages, Mitchell had read 10 * 40 = 400 pages from the first ten chapters. After reading 20 pages of the eleventh chapter, the total number of pages that Mitchell had read is 400 + 20 = 420. The next two chapters that she read had 2 * 40 = 80 pages. In total, Mitchell read 420 + 80 = 500 pages of the book that day. The answer is 500.