[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.
Q: The math teacher would be happy if the class average test score was at least 85. There are 10 students in the class, 5 of which scored a 92 on the test and 4 of which scored an 80. What would the last student have to score to at least make the teacher happy?
A: 5 students scored a combined total of 92 * 5 = 460. 4 additional students scored a combined total of 80 * 4 = 320. 9 students therefore scored a combined total of 460 + 320 = 780. We know the total combined score for 10 students must be at least 85 average * 10 students = 850. Therefore, the last student must score at least an 850 - 780 = 70. The answer is 70.
Question: Brandon sold some geckos to a local pet shop. Brandon sold the geckos for 100$. The pet store sells them for 5 more than 3 times that. How much does the pet store profit?
Answer: The pet store sells the geckos for 5 + 3(100) = 305$. Pet store profit: 305 - 100 = 205$. The answer is 205.
[Question]Two stores sell the same model of smartphone, but they offer it at different prices and with different discounts. Store A lists the smartphone at a full price of $125 and offers an additional discount of 8%. Store B lists the same smartphone for $130 and offers an additional discount of 10%. After both stores' discounts are applied, how much cheaper is store A's smartphone than store B's smartphone?
[Answer]Store A has a $125 x 8 / 100 = $10 discount. So the smartphone from store A will only cost $125 - $10 = $115. Store B has a $130 x 10 / 100 = $13 discount. So the smartphone from store B will only cost $130 - $13 = $117. Thus, store A's smartphone is $117 - $115 = $2 cheaper than that of store B. The answer is 2.
Q: Bill has played 200 games of poker and won 63% of them. If he plays 100 more games and loses 43 of them, what is his new win percentage?
A: First find the total number of games Bill has won: 200 games * 63% = 126 games. Then find how many of the next 100 games he wins by subtracting the number he loses from the total: 100 games - 43 games = 57 games. Then add his new wins to his old wins to find his total wins: 57 games + 126 games = 183 games. Then add the old total number of games to the new total number of games to find the overall total number of games: 200 games + 100 games = 300 games. Then divide the total number of games Bill won by the overall total number of games and multiply by 100% to find the percentage of games he won: 183 games / 300 games * 100% = 61%. The answer is 61.
Question: Henry had 33 games, and he gave five of them to Neil. Now Henry has 4 times more games than Neil. How many games did Neil have at first?
Answer:
After giving five games to Neil, Henry has 33 - 5 = 28 games left. Now, Neil has 28 / 4 = 7 games. Neil had 7 - 5 = 2 games at first. The answer is 2.