Question: Kate has to fill 52 balloons for the party. Each balloon holds 5 gallons of air. For the first 10 minutes, she can fill the balloons at a rate of 8 gallons of air per minute. For the next five minutes, she fills them at half that rate. After that, she fills the rest of the balloons at a rate of 2 gallons of air per minute. How many minutes will it take her to fill all of the balloons?
Answer: She needs to fill a total of 52 * 5 = 260 gallons of air. In the first ten minutes, she fills 8 * 10 = 80 gallons of air. For the next five minutes, she fills 8 / 2 * 5 = 20 gallons of air. That leaves her with 260 - 80 - 20 = 160 gallons of air to fill. It will take her 160 / 2 = 80 more minutes to fill the rest of the balloons. The total time to fill all of the balloons is 10 + 5 + 80 = 95 minutes. The answer is 95.
[Question]Gilbert, the bearded dragon, eats 4 crickets per week when the temperature averages 90 degrees F per day, but he eats twice as many crickets per week when the temperature averages 100 degrees F. How many crickets will he eat over 15 weeks if the temperature averages 90 degrees F for 80% of the time, and 100 degrees F for the remainder of the time?
[Answer]It will be 90 degrees for 80% of the 15 weeks, for a total of 0.8 * 15 = 12 weeks. It will be 100 degrees F for the remainder of the 15 weeks, or 15 - 12 = 3 weeks. During the 12 weeks when it averages 90 degrees F, he will eat 4 crickets per week for a total of 12 * 4 = 48 crickets. When it averages 100 degrees F, he eats twice as many crickets per week as when it averages 90 degrees F per week, for a total of 2 * 4 = 8 crickets per week. During these 3 weeks, he will eat 8 * 3 = 24 crickets. Therefore, over the 15 weeks, he will eat a total of 48 + 24 = 72 crickets. The answer is 72.
Q: In a restaurant, one cup of coffee is $6 and a piece of cheesecake $10. When buying them together, the client gets a 25% discount. What is the final price of such a set?
A: Both the cheesecake and coffee cost 10 + 6 = $16. The discount for these items is 25 / 100 * 16 = $4. So the final price for the cheesecake and coffee is 16 - 4 = $12. The answer is 12.
Question: Travis wants to fly to Australia. The regular tickets cost about $2000. As Travis is a student, he will get a 30% discount on this price. How much does he need to pay for his ticket?
Answer: The discount on the ticket is 30 / 100 * $2000 = $600. So Travis needs to pay $2000 - $600 = $1400. The answer is 1400.
[Question]Dan can get to the center of a lollipop in 58 licks. Micheal does it in 63 licks. Sam & David each take 70 licks to get to the center of a lollipop while Lance only needs 39 licks. What is the average amount of licks it takes to get to the center of a lollipop?
[Answer]Dan takes 58 licks, Michael takes 63, Sam takes 70, David takes 70 and Lance takes 39 for a total of 58 + 63 + 70 + 70 + 39 = 300 licks. There are 5 people and the total amount of licks is 300 so the average is 300 / 5 = 60 licks to get to the center of a lollipop. The answer is 60.
[Question]42 raspberries, blackberries, and blueberries were picked in total. If half of all the berries had been raspberries, and a third of the berries were blackberries, how many of them were blueberries?
[Answer]
42 / 2 = 21 raspberries had been picked. 42 / 3 = 14 blackberries had been picked. 21 + 14 = 35 raspberries and blackberries had been picked. 42 - 35 = 7 blueberries had been picked. The answer is 7.