[Question]Mark wants to have a water balloon fight with his friends. He goes to the store to buy balloons and sees that they sell small bags for $4, medium bags for $6 and extra large bags for $12. He has $24 and wants to get the most balloons as possible. If the $4 bags contain 50 balloons, the $6 bags contain 75 balloons and the $12 bags contain 200 balloons, what is the greatest number of balloons he can buy?
[Answer]He can buy 6 small bags because 24 / 4 = 6. These give him 300 balloons, because 6 x 50 = 300. He can buy 4 medium bags because 24 / 6 = 4. These give him 300 balloons because 4 x 75 = 300. He can buy 2 extra large bags because 24 / 12 = 2. This gives him 400 balloons because 2 x 200 = 400. 400 is the most he can buy because 400 is greater than 300. The answer is 400.
Q: A radio show plays for 3 hours a day. They split their show into talking segments, ad breaks and songs. Talking segments last 10 minutes each, ad breaks last 5 minutes each and songs are played throughout the rest of the show. If the radio show includes 3 talking segments and 5 ad breaks in today's show, how long, in minutes, does the show play songs?
A: The entire radio show plays for 3 hours * 60 minutes = 180 minutes. The talking segments use 3 talking segments * 10 minutes per talking segment = 30 minutes each. The ad breaks use 5 ad breaks * 5 minutes per ad break = 25 minutes. In total, the talking segments and ad breaks use 30 + 25 = 55 minutes. This leaves 180 55 = 125 minutes for the radio show to play songs. The answer is 125.
Question: Suzie and 5 of her friends decide to rent an Airbnb at Lake Tahoe for 4 days from Thursday to Sunday. The rental rate for weekdays is $420 per day. The weekend rental rate is $540 per day. They all decide to split the rental evenly. How much does each person have to pay?
Answer: The cost of the rental for Thursday and Friday comes to $420 * 2 = $840. The cost of the rental for Saturday and Sunday comes to $540 * 2 = $1080. The total cost of the rental comes to $840 + 1080 = $1920. The payment required for each person comes to $1920 / 6 = $320. The answer is 320.
[Question]Leah bought 3 boxes of birdseed. When she went to put them away, she discovered that she already had 5 boxes in the pantry. Her parrot eats 100 grams of seeds each week and her cockatiel eats 50 grams of seeds in a week. If each box of birdseed contains 225 grams, for how many weeks can she feed her birds without going back to the store?
[Answer]In a week, her birds eat a total of 100 grams + 50 grams = 150 grams of seed each week. Leah has a total of 3 + 5 = 8 boxes of birdseed. The boxes of birdseed contain a total of 8 * 225 grams = 1800 grams. This is enough birdseed to feed her pets for 1800 / 150 = 12 weeks. The answer is 12.
Q: Mr Castiel prepared 600 boar sausages on the weekend. He ate 2/5 of them on Monday, half of the remaining on Tuesday and saved the rest for Friday. If he ate 3/4 of the remaining boar sausages on Friday, how many sausages are left?
A: On Monday, Mr Castiel ate 2 / 5 * 600 = 240 sausages. The remaining number of sausages after he ate 240 on Monday is 600 - 240 = 360. On Tuesday, he ate half of the remaining sausages, a total of 360 / 2 = 180. The remaining number of sausages that he saved for Friday after eating 180 on Tuesday is 360 - 180 = 180. On Friday, Mr Castiel ate 3 / 4 * 180 = 135 of the sausages he had kept. The remaining number of sausages after he ate 135 on Friday is 180 - 135 = 45. The answer is 45.
Question: Bobby needed to make some trips with his truck and had only 12 gallons of gasoline. He drives to a supermarket 5 miles away and then drives back home. Then he headed to his farm which was 6 miles away. Two miles into the journey, he turned around and drove back home to retrieve some farming tools he forgot to take earlier and drove down to the farm. If he now has exactly 2 gallons of gasoline left, at what rate in miles per gallon has his truck been consuming gasoline?
Answer:
The trip to the supermarket and back home covers 5 + 5 = 10 miles. The round trip of two miles each before he actually went to the farm covers 2 + 2 = 4 miles. Six miles to the farm and the total mileage is 10 + 4 + 6 = 20 miles. The truck consumed 12 - 2 = 10 gallons of gasoline for the total journey. So, the rate is 20 / 10 = 2 miles per gallon. The answer is 2.