Question: There are one hundred tickets to be sold for a volleyball game. Andrea sold twice as many tickets as Jude while Sandra sold 4 more than half the number of tickets Jude sold. If Jude sold 16 tickets, how many tickets need to be sold?
Answer: Andrea sold 16 x 2 = 32 tickets. Half the number of tickets Jude sold is 16 / 2 = 8. So, Sandra sold 8 + 4 = 12 tickets. Thus, Andrea, Jude, and Sandra sold a total of 32 + 16 + 12 = 60 tickets. Therefore, 100 - 60 = 40 tickets need to be sold. The answer is 40.
[Question]Frankie and Carla played 30 games of ping pong against each other. Frankie won half as many games as did Carla. How many games did Carla win?
[Answer]Let x be the number of games that Frankie won. Then the number of games Carla won would be 2 * x. And the sum of all the games would be x + 2 * x = 30 games. Thus, the expression simplifies to 3 * x = 30. And the value of x = 10 games. Therefore, the number of Carla's wins would be 2x = 20 games. The answer is 20.
Q: At the Taylor family reunion, there were 45 kids and 123 adults. When they sat down to eat, there were 14 tables. How many people sat at each table?
A: There were 45 kids + 123 adults = 168 people at the reunion. All the people sat at 14 tables, so 168 people / 14 tables = 12 people per table. The answer is 12.
Question: Susie's pet lizard Moe takes 10 seconds to eat 40 pieces of cuttlebone each day. How long would it take Moe to eat 800 pieces?
Answer: If it takes Moe 10 seconds to eat 40 cuttlebones, then in one second she eats 40 cuttlebones / 10 seconds = 4 cuttlebones / second. Since the cat eats 4 pieces of cuttlebone in 1 second, 800 pieces will be 800 cuttlebones / 4 cuttlebones / second = 200 seconds. The answer is 200.
[Question]Wendy is a fruit vendor, and she sells an apple at $1.50 each and one orange at $1. In the morning, she was able to sell an average of 40 apples and 30 oranges. In the afternoon, she was able to sell 50 apples and 40 oranges. How much are her total sales for the day?
[Answer]There were an average of 40 + 50 = 90 apples. And, there were 30 + 40 = 70 oranges. Thus, Wendy gained 90 x $1.50 = $135 for selling apples. And, she gained an additional 70 x $1 = $70 for selling oranges. Therefore, her total sales for the day is $135 + 70 = $205. The answer is 205.
[Question]Jeff wanted to rent an apartment to live in for the next 5 years until he finishes his studies. He found a nice apartment next to his school, the owner asks Jeff to pay $300 each month, Jeff agreed, and for the first 3 years everything went fine, but then the owner wanted to raise the price for each month to $350. Jeff agreed again and continued paying until he graduated. How much did Jeff end up paying for the apartment throughout the 5 years?
[Answer]
At first Jeff paid, $300 / month x 12 months = $3,600 / year. He paid $3,600 / year x 3 years = $10,800 the firsts 3 years. The final 2 years he paid $350 / month x 12 months = $4,200 / year. He paid $4,200 / year x 2 years = $8,400 the last 2 years. He paid the owner $10,800 + $8,400 = $19,200 in total. The answer is 19200.