[Question]There were 100 people in attendance at the school dance. Ten percent of the attendees were school faculty and staff. Of the remaining attendees, two-thirds were girls. How many boys attended the school dance?
[Answer]Of 100 people in attendance at the school dance, 10% were school faculty and staff, or a total of 0.1 * 100 = 10 people. This leaves 100 - 10 = 90 students in attendance. Of the remaining attendees, two - thirds were girls, or (2 / 3) * 90 = 60 attendees were girls. Thus, the remaining 90 - 60 = 30 students were boys who attended the school dance. The answer is 30.
Q: Dikembe wants to teach everyone at school about the importance of flossing, so he plans to bring enough packets of floss for everyone. There are 20 students in his class. Each student needs 1.5 yards of floss. He sees in the store that each packet of floss contains 35 yards. If he buys the least amount necessary, how much floss is left over?
A: He will need to bring 30 yards of floss because 20 x 1.5 = 30. One packet of floss is enough because 35 > 30. He has 5 yards left over because 35 - 30 = 5. The answer is 5.
Question: Three schools organized a science fair competition and invited students from all the schools to develop ideas and present them before a panel of judges selected by all the schools competing in the science fair. There were 50 students from Know It All High School at the competition, 3/5 times as many students from Karen High as Know It All High School, and twice the combined number of students from the first two schools that came were from Novel Corona High School. Calculate the total number of students at the competition?
Answer: If 50 students came from Know It All High School, then Karen High, which had 3 / 5 times as many students as Know It All High School, had 3 / 5 * 50 = 30 students at the fair. The total number of students from Know It All and Karen high schools is 50 + 30 = 80 students. If Novel Corona had twice the combined number of students from Know It All and Karen high schools, then it had 2 * 80 = 160 students at the competition. The total number of students at the competition is 80 + 160 = 240. The answer is 240.
[Question]David has a store where he sells cell phones. When he takes inventory at the end of the day, he notices that he has 10 Samsung cell phones but he started the day with 14 Samsung cell phones. Then he notices that he has 5 iPhones and in the initial inventory, but started with 8. His staff then told him that in the afternoon they realized that 2 Samsung cell phones were damaged and 1 iPhone had a manufacturing defect in the screen, so they threw these out during the day. What was the total number of cell phones that were sold today?
[Answer]The actual initial inventory of Samsung cell phones was 14, but there were 2 defective phones so 14 - 2 = 12 is the initial inventory of working Samsung phones. The actual initial inventory of iPhone cell phones was 8, but there was one defective phone, so 8 - 1 = 7 is the actual initial inventory of working iPhones. Thus only 12 - 10 = 2 Samsung cell phones were sold. Thus only 7 - 5 = 2 iPhones were sold. Thus the total number of phones sold is 2 Samsung + 2 iPhone = 4 cell phones. The answer is 4.
Q: While driving up a road, Philip passed through 5 intersections. 4 crosswalks marked each intersection with a total of 20 lines per crosswalk. Calculate the total number of lines of the crosswalks in the five intersections.
A: If one intersection has 4 crosswalks, with 20 lines per crosswalk, there are 20 * 4 = 80 lines in all the crosswalks per intersection. If there are 5 intersections, the total number of lines in all the intersections is 80 * 5 = 400 lines. The answer is 400.
Question: Nala found 5 seashells at the beach. The next day, she found another 7, and the following day, she found twice the number she got from the first two days. How many seashells does Nala have?
Answer:
On the first and second days, Nala found 5 + 7 = 12 seashells. On the third day, she found 12 x 2 = 24 seashells. Altogether, she found 12 + 24 = 36 seashells. The answer is 36.