[Question]Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get?
[Answer]Wally gives his friends 3 / 4 * 400 = 300 tickets to share. The total ratio that represents the tickets that Jensen and Finley share is 4 + 11 = 15. From the total ratio, the fraction that represents the share that Finley got is 11 / 15, and since he shared with Jensen 300 tickets, he got 11 / 15 * 300 = 220 tickets. The answer is 220.
Q: Mr. Wong harvested 560 mangoes from the tree outside his house. He sold half of it at the market and distributed the rest evenly among 8 of his neighbors. How many mangoes does each neighbor receive?
A: Mr. Wong had 560 / 2 = 280 mangoes left. Each of his neighbors received 280 / 8 = 35 mangoes. The answer is 35.
Question: A state fair charges $5 for a ticket. Two-thirds of the people who buy a ticket will buy deep-fried fair food for $8, one quarter will go on a ride for $4, and one eighth will spend $15 on a souvenir. The fair made $2520 from tickets. How many dollars did they make in all?
Answer: The fair made $2520 from tickets, so they had 2520 / 5 = 504 people attend the fair. Two - thirds of those people will buy food, so 504 * 2 / 3 = 336 people will buy food. The fair will make 336 * 8 = $2688 from food. A quarter of the people will go on a ride, so 504 / 4 = 126 people will go on a ride. The fair will make 126 * 4 = $504 from rides. An eighth of the people will buy a souvenir, so 504 / 8 = 63 people will buy souvenirs. The fair will make 63 * 15 = $945 from souvenirs. In all, the fair will make 2520 + 2688 + 504 + 945 = $6657. The answer is 6657.
[Question]Sarah's age is equal to three times Mark's age minus 4. Mark is four years older than Billy. Billy is half Ana's age. If Ana will be 15 in 3 years, how old is Sarah?
[Answer]First figure out how old Ana is right now by subtracting 3 from 15: 15 - 3 = 12. Next, figure out how old Billy is by dividing Ana's age by 2: 12 / 2 = 6. Now figure out how old Mark is by adding 4 to Billy's age: 6 + 4 = 10. Now, to figure out Sarah's age, first multiply Mark's age by 3: 10 * 3 = 30. Finally, subtract 4 from triple Mark's age to find Sarah's age: 30 - 4 = 26. The answer is 26.
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: Marla has a grid of squares that has 10 rows and 15 squares in each row. She colors 4 rows of 6 squares in the middle of the grid with red. She colors all squares on the first 2 and last 2 rows with blue. Then she colors the rest with green. How many squares does Marla color green?
Answer:
There are 10 x 15 = 150 squares in a grid. 4 x 6 = 24 squares are colored red. There are 2 + 2 = 4 rows that are all blue. Thus, a total of 4 x 15 = 60 squares are colored blue. 24 + 60 = 84 squares are color red or blue. Therefore, 150 - 84 = 66 square are green. The answer is 66.