Q: The Ravenswood forest has four times as many gnomes as the Westerville woods. If there are 20 gnomes in Westerville woods, how many gnomes would remain in Ravenswood forest if 40% of the gnomes are taken for use by the forest owner?
A: If there 20 gnomes in Westerville woods, the Ravenswood forest has 4 * 20 = 80 gnomes. If 40% of gnomes in the Ravenswood forest are taken for use by the owner of the forest, the number of gnomes will reduce by 40 / 100 * 80 = 32. The number of gnomes that will remain is 80 - 32 = 48. The answer is 48.
Question: Matt wants to repaint his house. He needs to paint three walls in his living room, which is a square 40 feet by 40 feet, and all four walls in his bedroom, which is a rectangle 10 feet by 12 feet. All the walls in Matt's house are 10 feet tall. How many total square feet of wall does Matt need to paint?
Answer: First figure out how many square feet a wall in the living room is: 40 feet length * 10 feet height = 400 square feet. Now multiply by 3 since Matt needs to paint three living room walls: 400 square feet / wall * 3 walls = 1200 square feet. Next figure out how many square feet the long walls in the bedroom are: 12 feet * 10 feet = 120 square feet. There are two long walls, so multiply this figure by 2: 120 square feet / wall * 2 walls = 240 square feet. Next figure out how many square feet the short walls in the bedroom are: 10 feet * 10 feet = 100 square feet. Multiply this by 2, since there are two short walls: 100 square feet / wall * 2 walls = 200 square feet. Finally, add up the square footage from the three living room walls, the two short bedroom walls, and the two long bedroom walls: 1200 square feet + 240 square feet + 200 square feet = 1640 square feet. The answer is 1640.
[Question]Stephen made 10 round trips up and down a 40,000 foot tall mountain. If he reached 3/4 of the mountain's height on each of his trips, calculate the total distance he covered.
[Answer]Up a mountain, Stephen covered 3 / 4 * 40000 = 30000 feet. Coming down, Stephen covered another 30000 feet, making the total distance covered in one round to be 30000 + 30000 = 60000. Since Stephen made 10 round trips up and down the mountain, he covered 10 * 60000 = 600000. The answer is 600000.
Q: Vinnie is writing an essay and needs to make sure that he has not exceeded the 1000-word limit. He wrote 450 words on Saturday and 650 words on Sunday. How many words has Vinnie exceeded the limit by?
A: Vinnie has written a total of 450 words on Saturday + 650 words on Sunday = 1100 words. He has therefore exceeded the limit by 1100 written words – 1000 word limit = 100 words. The answer is 100.
Question: Marie has 98 unread messages on her phone. She decides to clear them by reading 20 messages a day. However, she also gets 6 new messages a day. How many days will it take her to read all her unread messages?
Answer: Marie will read 20 but gain 6 unread messages a day, so she will lower the number of messages by 20 - 6 = 14. Thus, it will take her 98 / 14 = 7 days to read all her unread messages. The answer is 7.
Q: Issac has to buy pens and pencils for the upcoming school year. Issac buys 108 writing utensils total. He buys 12 more than 5 times the number of pencils than pens. How many pens did Issac buy?
A:
Let x be the number of pens bought. He bought 12 + 5x pencils. x + (12 + 5x) = 108. 6x + 12 = 108. 6x = 96. x = 16 pens. The answer is 16.