Q: As a special treat, Georgia makes muffins and brings them to her students on the first day of every month. Her muffin recipe only makes 6 muffins and she has 24 students. How many batches of muffins does Georgia make in 9 months?
A: She has 24 students and her muffin recipe only makes 6 muffins so she needs to bake 24 / 6 = 4 batches of muffins. She brings muffins on the 1st of the month for 9 months and it takes 4 batches to feed all of her students so she bakes 9 * 4 = 36 batches of muffins. The answer is 36.
Question: Javier is an Olympic javelin thrower. In the last Olympics, he threw the javelin three times. The first throw, he threw the javelin twice as far as he threw the javelin on his second throw, but only half as far as he threw it the third throw. If the sum of all three throws was 1050 meters, then how far, in meters, did he throw the javelin on his first throw?
Answer: Let x be the distance he threw the javelin on the first throw. Thus, the sum of his three throws is x + 0.5x + 2x = 1050 meters. Thus, 3.5x = 1050. And we find the distance he threw the javelin on the first throw is x = 300 meters. The answer is 300.
[Question]Buffy has a sailboat with a planing hull that she sails in the Gulf of Mexico. Under optimal wind conditions, the use of two sails brings the ship to the speed of 50 knots, whereas under the same conditions, the use of one sail brings her ship to the speed of 25 knots. A knot is a nautical term for speed equal to 1 nautical mile per hour, and one nautical mile equals 1.15 land miles. If she travels in her sailboat under optimal wind conditions for 4 hours with one sail and then for another 4 hours with two sails, what is the total distance, in land miles, that she will travel?
[Answer]Under optimal wind conditions, if her ship sails 4 hours with 1 sail, she will travel 4 * 25 = 100 nautical miles. Under optimal wind conditions, if her ship sails 4 hours with 2 sails, she will travel 4 * 50 = 200 nautical miles. In total, she will travel 100 + 200 = 300 nautical miles. If 1 nautical mile is equivalent to 1.15 land miles, then Buffy will travel 300 * 1.15 = 345 land miles. The answer is 345.
Q: On the night of the dance, 400 students show up to the party. 70% of the students who showed up were invited. If 40% of those invited to the party had their invitation revoked and were not allowed into the party, how many invited students attended the party?
A: On the night of the dance 70 / 100 * 400 = 280 students who showed up to the party were invited. If 40% of those invited to the party had their invitation revoked, there were 40 / 100 * 280 = 112 students who showed up and had their invitation revoked. The number of invited students who attended the party is 280 - 112 = 168. The answer is 168.
Question: Anderson makes mud masks for spa treatments. In every batch of mud that he mixes, he adds three sprigs of mint, and he adds two green tea leaves for every sprig of mint. He had to switch to a different kind of mud, which makes the other ingredients he adds half as effective. How many green tea leaves should Anderson add to a new batch of mud to get the same efficacy as before?
Answer: Anderson adds 3 * 2 = 6 green tea leaves in every batch of mud. They are half as effective in the new mud, so Anderson should ad 6 * 2 = 12 green tea leaves to get the same efficacy as before. The answer is 12.
Q: Grace can read a 200-page book in 20 hours. How long would it take her to finish reading a 250-page book at this constant rate?
A:
Grace can read 200 / 20 = 10 pages in 1 hour. So she can finish a 250 - page book in 250 / 10 = 25 hours. The answer is 25.