[Question]Carla is taking attendance for her sixth-grade class. She knows that 2 students are in the restroom, and one less than three times that number of students are absent. If there are four rows with six desks each that are all 2/3 full, how many students does Carla teach, including the ones in and out of the classroom?
[Answer]First find the number of absent students: 2 students * 3 - 1 = 5 students. Now find the number of students in each row of desks: 6 desks / row * 2 students / 3 desks = 4 students / row. Now find the number of students in all the rows: 4 rows * 4 students / row = 16 students. Now add the students that are absent or in the bathroom: 16 students + 2 students + 5 students = 23 students. The answer is 23.
Q: Daytona Beach has 26 shark sightings a year. Daytona Beach has 5 more than triple the number of shark sightings as Cape May. How many shark sightings are there in Cape May?
A: Let x be the number of shark sightings in Cape May. 26 = 5 + 3x. 21 = 3x. x = 7. The answer is 7.
Question: Will's breakfast supplied him 900 calories of energy. Then he decided to jog for half an hour, which used up 10 calories of energy per minute. What is Will's net calorie intake after jogging?
Answer: Will jogged for 60 / 2 = 30 minutes. He was able to use up 10 x 30 = 300 calories for jogging. The net calorie intake of Will after jogging is 900 - 300 = 600. The answer is 600.
[Question]Out of the 80 students who took the biology exam, only 2/5 of them managed to score 100%. If a score below 80% qualified as failing, and 50 percent of the remaining students who didn't score 100% managed to score over 80%, calculate the number of students who failed the exam.
[Answer]The number of students who scored 100% is 2 / 5 * 80 = 32. Out of the 80 students, 80 - 32 = 48 did not score 100%. If 50% of the students who did not score 100% managed to score over 80%, then 50 / 100 * 48 = 24 students scored over 80%. The number of students who failed is 48 - 24 = 24. The answer is 24.
Q: Jason joined the military when he turned 18. It took him 8 years to raise to the rank of chief. Then 25% longer than that to go from chief to master chief. He then spent 10 years more in the military before retiring. How old was he when he retired?
A: It took 8 * .25 = 2 years longer to go from chief to master chief than to get chief. So it takes him 8 + 2 = 10 years to become a master chief. That means he took 10 + 8 = 18 years to reach master chief from enlisting. So he was in the military for 18 + 10 = 28 years. So he was 28 + 18 = 46 when he retired. The answer is 46.
Question: Sara is checking out two different stores to buy a computer. The first store offers a device for $950 with a 6% discount. The second sells the same computer for €920 with a 5% discount. What is the difference in price between the two stores?
Answer:
The amount of discount in the first store 950 x 6 / 100 = $57. So, the device costs 950 - 57 = $893 in the first store. The amount of discount in the second store is 920 x 5 / 100 = $46. So, the device costs 920 - 46 = $874 in the second store. The difference in price is 893 - 874 = $19. The answer is 19.