Q: Marco owns an ice cream truck. His ice cream cones are $5 each. If his expenses are 80% of total sales for the day, how many ice cream cones would he need to sell to make a $200 profit for the day?
A: His expenses are 80 / 100 = 4 / 5. His profit would be 20 / 100 = 1 / 5. Total sales for the day is $200 x 5 = $1000. Total ice cream cones he sells is $1000 / 5 = 200. The answer is 200.
Question: A local college is offering German lessons and currently has 8 students enrolled. Through advertising, 8 more became interested but a fourth of these dropped out within a day. 2 more got frustrated and left. The class then rallied to show how simple the course actually is and increased enrollment by 5 times the amount of students already enrolled in the class, but 2 had to drop it because of scheduling conflicts. After one last rally, 6 more people enrolled. As the days passed, half of the class eventually dropped, and half of the remaining students graduated. How many are still enrolled?
Answer: 8 + 8 = 16 students are enrolled in the German class. 8 * .25 = 2 dropped out from the new recruits. 2 more left, so the class had 16 - 2 - 2 = 12 students left. There were 12 * 5 + 12 = 72 total students in the class after the rally. Two people had to drop the class, so there were 72 - 2 = 70 left. 70 + 6 = 76 were enrolled after the final rally. 76 / 2 = 38 are left after half the class dropped. 38 / 2 = 19 are left after half the class graduated. The answer is 19.
[Question]Darnell has 1000 square feet of fabric that he's using to make mini flags. He makes square flags that are 4 feet by 4 feet, wide rectangular flags that are 5 feet by 3 feet, and tall rectangular flags that are 3 feet by 5 feet. He has already made 16 square flags, 20 wide flags, and 10 tall flags. How many square feet of fabric does he have left?
[Answer]The square flags use 16 square feet of fabric per flag because four times four equals 16. The wide flags each use 15 feet of fabric per flag because five times three equals 15. The tall flags each use 15 feet of fabric per flag because five times three equals 15. He has used 256 square feet for the square flags because 16 times 16 equals 256. He has used 300 square feet for the wide flags because 20 times 15 equals 300. He has used 150 square feet for the tall flags because ten times 15 equals 150. He has used 706 square feet because 256 plus 300 plus 150 equals 706. He has 294 square feet left because 1,000 minus 706 equals 294. The answer is 294.
Q: Mrs. Amaro has 80 roses in her garden. Three-fourths of her roses are red, one-fourth of the remaining are yellow, and the rest are white. How many of Mrs. Amaro's roses are either red or white?
A: Mrs. Amaro has 80 x 3 / 4 = 60 red roses. So, 80 - 60 = 20 roses are not red. Then, 20 x 1 / 4 = 5 of those 20 non - red roses are yellow. Hence, 20 - 5 = 15 roses are white. Therefore, 60 + 15 = 75 roses are either red or white. The answer is 75.
Question: If Jason eats three potatoes in 20 minutes, how long, in hours, would it take for him to eat all 27 potatoes cooked by his wife?
Answer: Since 1 hour is 60 minutes, 20 minutes is 20 / 60 = 1 / 3 of an hour. Eating 3 potatoes per 20 minutes is 3 / (1 / 3) = 9 potatoes per hour. At 9 potatoes per hour, it will take Jason 27 / 9 = 3 hours to eat all of the potatoes. The answer is 3.
Q: The coach of a football team asked his players to do six laps of the field. The field is in the shape of a rectangle of length 100 m and width 50 m. What is the distance each player will run, in meters?
A:
One lap corresponds to the perimeter of a rectangle of 100 m length and 50 m width: 2 * 100 + 2 * 50 = 300 metres. Each player has to do six turns of the field, so runs 6 * 300 = 1800 meters. The answer is 1800.