[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: There are 64 seventh graders at a middle school. This is 32% of the students at the school. The sixth graders comprise 38% of the students. How many sixth graders attend middle school?
A: Let X be the number of students in the middle school. There are X * 32% = 64 seventh graders. So there are X = 64 / 0.32 = 200 students at the school. And there are 200 * 38% = 76 sixth graders. The answer is 76.
Question: Kendra wants enough shirts that she only has to do laundry once every two weeks. She wears one shirt to school for each of the five weekdays. Three days a week, she changes into a different shirt for an after-school club. On Saturday, she wears one shirt all day. On Sunday, she wears a different shirt to church than she does for the rest of the day. How many shirts does she need to be able to only do laundry once every two weeks?
Answer: Kendra wears 1 * 5 = 5 shirts for school days. She wears 1 * 3 = 3 extra shirts for her after - school club. She wears 1 + 1 = 2 shirts on Sunday. With her shirt on Saturday, she wears 5 + 3 + 1 + 2 = 11 shirts each week. She wants to have 2 weeks’ worth of shirts, so she needs 11 * 2 = 22 shirts. The answer is 22.
[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: 4 friends are running a 4 x 100 relay race. Mary ran first and took twice as long as Susan. Susan ran second and she took 10 seconds longer than Jen. Jen ran third and finished in 30 seconds. Tiffany ran the last leg and finished in 7 seconds less than Mary. How many seconds did it take the team to finish the race?
A: Susan's time was 30 seconds + 10 seconds = 40 seconds. Mary's time was 40 seconds * 2 = 80 seconds. Tiffany's time was 80 seconds - 7 seconds = 73 seconds. The total time for the team was 80 seconds + 40 seconds + 30 seconds + 73 seconds = 223 seconds. The answer is 223.
Question: While preparing balloons for Eva's birthday party, her mom bought 50 balloons and 1800cm³ of helium. One balloon needs 50cm³ to float high enough to touch the ceiling, and she can fill any remaining balloon with ordinary air. If she used up all of the helium and inflated every balloon, how many more balloons are touching the ceiling than not?
Answer:
50cm³ will make one balloon touch the ceiling so 1800cm³ will make 1800 / 50 = 36 balloons touch the ceiling. There are 50 balloons in total so 50 - 36 = 14 balloons will not float since they were filled with ordinary air. There are 36 - 14 = 22 more balloons touching the ceiling than not. The answer is 22.