Question: Nathaniel has 11 tickets to a basketball game. He gives away 2 tickets each to his best friends, until he only has 3 tickets left. How many best friends does Nathaniel have?
Answer: Nathaniel gave away 11 - 3 = 8 tickets to his best friends. Nathaniel has 8 / 2 = 4 best friends. The answer is 4.
[Question]Elsa's hockey team just made the playoffs along with two other teams. They make the playoffs by having the top three highest points for their records. Teams get 2 points for a win, 1 point for a tie, and zero points for a loss. The first-place team has 12 wins and 4 ties. The second-place team has 13 wins and 1 tie. Elsa's team has 8 wins and 10 ties. What is the average number of points for the playoff teams?
[Answer]The teams have 33 total wins because 12 + 13 + 8 = 33. The teams have 66 points from wins because 33 x 2 = 66. The teams have 15 total ties because 4 + 1 + 10 = 15. The teams have 15 points from ties because 15 x 1 = 15. The teams have 81 total points because 66 + 15 = 81. The average number of points per team is 27 because 81 / 3 = 27. The answer is 27.
Q: Mason is a caterer packing up silverware and plates for a big corporate event. Each piece of silverware weighs 4 ounces, and there are three pieces of silverware per setting. Each plate weighs 12 ounces, and there are two plates per setting. If Mason needs enough settings for 15 tables with 8 settings each, plus 20 backup settings in case of breakage, how many ounces will all the settings weigh?
A: First find the total weight of the silverware per setting: 4 ounces / piece * 3 pieces / setting = 12 ounces / setting. Then find the total weight of the plates per setting: 12 ounces / plate * 2 plates / setting = 24 ounces / setting. Then add those two amounts to find the total weight per setting: 12 ounces / setting + 24 ounces / setting = 36 ounces / setting. Then multiply the number of tables by the number of settings per table to find the number of table settings: 15 tables * 8 settings / table = 120 settings. Then add the 20 backup settings to find the total number of settings: 120 settings + 20 settings = 140 settings. Then multiply the total number of settings by the weight per setting to find the total weight: 140 settings * 36 ounces / setting = 5040 ounces. The answer is 5040.
Question: Marge had a winning lottery ticket for $12006 and wanted to spend some of it wisely before using on any fun things. She paid half of the lottery amount for the taxes on her winnings, then put a third of the leftover money towards her student loans. She put $1000 in savings and invested a fifth of that amount in the stock market. How many dollars does she have left for fun?
Answer: Marge used half the $12006 for taxes, so she had 12006 / 2 = $6003 left. She used 1 / 3 of the leftover money on student loans, so she paid 6003 / 3 = $2001. After paying the student loans, she had 6003 - 2001 = $4002 left. She put $1000 in savings, so she had 4002 - 1000 = $3002 left. She invested 1000 / 5 = $200 in the stock market. After investing, she had 3002 - 200 = $2802 left for fun. The answer is 2802.
[Question]Harper collected 30% more pieces of Halloween candy than her sister Maggie, who only collected 50 pieces. Neil collected 40% more candy than Harper. How much candy did Neil get on Halloween?
[Answer]Harper collected 30% more than Maggie’s 50 pieces of candy, so she collected .30 * 50 = 15 more pieces of candy. Maggie has 50 pieces and Harper collected 15 more than her, so she has 50 + 15 = 65 pieces of candy. Neil collected 40% more than Harper, who has 65 pieces, so that’s .40 * 65 = 26 more pieces of candy. Harper has 65 pieces and Neil collected 26 more than her, so he has 65 + 26 = 91 pieces of candy. The answer is 91.
[Question]A thirsty traveler found an oasis in the desert. He drank 32 ounces of water. His camel drank seven times as much as he did. There are 128 ounces in a gallon. How many gallons of water did they drink altogether?
[Answer]
The traveler’s camel drank 7 * 32 = 224 ounces of water. Together, the traveler and his camel drank 32 + 224 = 256 ounces. Thus, they drank 256 / 128 = 2 gallons of water altogether. The answer is 2.