[Question]A class has 32 students and they all need to present their projects. Every period is 40 minutes long. How many periods will it take for every student to present their project if they have 5 minutes to do so?
[Answer]All the students will present their projects in 32 * 5 = 160 minutes. It will take 160 / 40 = 4 periods for all the students to present their projects. The answer is 4.
Q: James works for 240 minutes. He takes a water break every 20 minutes and a sitting break every 120 minutes. How many more water breaks does he take than sitting breaks?
A: First find the number of water breaks James takes: 240 minutes / 20 minutes / water break = 12 water breaks. Then find the number of sitting breaks James takes: 240 minutes / 120 minutes / sitting break = 2 sitting breaks. Then subtract the number of sitting breaks from the number of water breaks to find the difference: 12 breaks - 2 breaks = 10 breaks. The answer is 10.
Question: Carolyn is trimming a dress with lace around the cuffs, waist, hem, and neckline. Each cuff is 50 cm long, the hem is 300 cm long, the waist is a third of the length of the hem, and the neck will have 5 ruffles that each use 20 cm of lace. If lace costs $6/m, how much does Carolyn spend on lace?
Answer: First find the length of the waist: 300 cm / 3 = 100 cm. Then find the total amount of lace she uses on the cuffs: 2 cuffs * 50 cm / cuff = 100 cm. Then find the total amount of lace she uses on the ruffles: 5 ruffles * 20 cm / ruffle = 100 cm. Then add each amount of lace she uses to find the total: 100 cm + 100 cm + 100 cm + 300 cm = 600 cm. Then convert that length to meters to by dividing by 100: 600 cm / 100 cm / m = 6 m. Finally, multiply the total meters of lace needed by the cost per meter to find the total cost: 6 m * $6 / m = $36. The answer is 36.
[Question]One of the clubs at Georgia's school was selling carnations for a fundraising event. A carnation costs $0.50. They also had a special where you could buy one dozen carnations for $4.00. If Georgia sent a dozen carnations to each of her 5 teachers and bought one carnation for each of her 14 friends, how much money would she spend?
[Answer]She wants to send a dozen carnations that cost $4 / dz to each of her 5 teachers, so 4 * 5 = $20. She has 14 friends and she knows a dozen carnations is cheaper than buying 12 single carnations. So 14 - 12 = 2 single carnations are needed. A single carnation cost $0.50 so 2 * .50 = $1.00. All total she will spend 20 + 4 + 1 = $25.00 on carnations. The answer is 25.
Q: Aunt Gemma has four dogs. She feeds them with dog food twice a day. Each dog can consume 250 grams of food per meal. If aunt Gemma bought 2 sacks of dog food, each weighing 50 kilograms, how many days will those food last?
A: Each dog consumes 250 grams x 2 = 500 grams of dog food each day. So, 4 dogs consume 500 grams x 4 = 2000 grams of dog food each day. Since there are 1000 grams in 1 kilogram, then the 4 dogs can consume 2000 / 1000 = 2 kilograms of dog food each day. Aunt Gemma bought a total of 50 kilograms x 2 = 100 kilograms of dog food. Hence, it will last 100 kilograms / 2 kilograms = 50 days. The answer is 50.
Question: Mary and Ann are going sledding. Mary slides down a hill that's 630 feet long at a speed of 90 feet/minute. Ann slides down a hill that's 800 feet long at a rate of 40 feet/minute. How much longer does Ann's trip take than Mary?
Answer:
First find the total time Mary's trip takes: 630 feet / 90 feet / minute = 7 minutes. Then find the total time Ann's trip takes: 800 feet / 40 feet / minute = 20 minutes. Then subtract Mary's time from Ann's time to find the difference: 20 minutes - 7 minutes = 13 minutes. The answer is 13.