[Question]Ali is a baker. Leila ordered 3 chocolate cakes for $12 each and 6 strawberry cakes for $22 each. How much should Leila pay Ali?
[Answer]For the chocolate cakes: Leila should pay: 12 * 3 = $36. For the strawberry cakes: Leila should pay: 22 * 6 = $132. Combining the chocolate cakes and strawberry cakes, Leila should pay: 36 + 132 = $168. The answer is 168.
Q: Alannah, Beatrix, and Queen are preparing for the new school year and have been given books by their parents. Alannah has 20 more books than Beatrix. Queen has 1/5 times more books than Alannah. If Beatrix has 30 books, how many books do the three have together?
A: If Beatrix has 30 books, Alannah has 30 books + 20 books = 50 books. Queen has 1 / 5 * 50 books = 10 more books than Alannah. The total number of books Queen has is 50 books + 10 books = 60 books. All three have 60 books + 50 books + 30 books = 140 books together. The answer is 140.
Question: Class A is twice as big as Class B. Class A is also a third the size of Class C. If Class B has 20 people in it, how many people are in Class C?
Answer: Class A is twice the size of Class B, so Class A = 2 * size of Class B. If Class B has 20 people Class A has 20 * 2 = 40 people. Since Class A is also 1 / 3 the size of Class C then Class A = 1 / 3 * Class C. This means 40 = 1 / 3 * Class C. Thus the size of Class C is 3 * 40 = 120 people. The answer is 120.
[Question]Tony has a piece of quilt that is 6 feet by 24 feet. If he wants to turn it into a square and use all the fabric, how long is each side of the square?
[Answer]The quilt is 144 square feet because 6 x 24 = 144. A square quilt would be 12 feet per side because √(144) = 12. The answer is 12.
Q: The ratio representing the age of Halima, Beckham, and Michelle is 4:3:7, respectively. If the total age for the three siblings is 126, calculate the age difference between Halima and Beckham.
A: The total ratio representing the age of the three siblings is 4 + 3 + 7 = 14. Halima's age is represented by the fraction 4 / 14, which means she is 4 / 14 * 126 = 36 years old. Beckhams age, from the total age of the three, is 3 / 14 * 126 = 27. The difference in age between Halima and Beckham is 36 - 27 = 9. The answer is 9.
Question: The New York City Council bought 200 streetlights to modernize its squares. But they don't have enough squares to use all the streetlights bought. Knowing that there are 15 squares in New York and that each park will have 12 new streetlights bought by the city council, how many unused streetlights will remain?
Answer:
So the total number of streetlights that will be used is 15 squares * 12 streetlights / square = 180 streetlights. There will be 200 streetlights - 180 streetlights = 20 streetlights unused. The answer is 20.