[Question]An elementary school teacher is making Halloween goodie bags for her class. She wants the bags to be personalized, so she surveys her students asking whether they'd like a vampire-themed bag or a pumpkin-themed bag. Of her 25 students, 11 indicate they want the vampire-themed bag and 14 indicate they want the pumpkin-themed bag. The store the teacher shops at sells packs of 5 of each theme at a price of $3 per package, as well as individual bags of each theme at a price of $1 each. What is the least amount of money the teacher can spend on the bags if she buys every student the theme they requested?
[Answer]Because it is cheaper to buy the packs of 5, the teacher should satisfy the 11 students who want the vampire theme with 2 packs of 5 and 1 individual bag. This will cost the teacher 2 * 3 + 1 * 1 = $7. Similarly, the 14 students who want a pumpkin - themed bag can be satisfied by 2 packs of 5 and 4 individual bags at a cost of 2 * 3 + 4 * 1 = $10. Therefore, the teacher must spend 7 + 10 = $17. The answer is 17.
Q: There are 16 people at a dinner party. There are 40 dinner rolls available for them. Half the people eat 1 1/2 rolls each. The other half eat 1/2 a roll each. How many dinner rolls are leftover?
A: Half the people at the party is 16 / 2 = 8 people. 8 people at the party eat 1 1 / 2 rolls each, 8 x 1 1 / 2 = 12 dinner rolls eaten. 8 people at the party eat 1 / 2 a roll each, 8 x 1 / 2 = 4 dinner rolls eaten. Combined, the people at the party ate 12 + 4 = 16 dinner rolls. There were originally 40 dinner rolls - 16 that got eaten = 24 dinner rolls leftover. The answer is 24.
Question: On the first day of the journey, the Skipper sailed his ship halfway to the destination by traveling due east for 20 hours at a speed of 30 kilometers per hour, and then turned the ship's engines off to let them cool down. But while the engines were off, a wind storm blew his vessel backward in a westward direction. After the storm, the Skipper used his GPS device to determine the new location of the ship, and he discovered that he was only one-third of the way to his destination. How many kilometers had the ship been blown in a westward direction by the storm?
Answer: Traveling 20 hours due east at 30 kilometers per hour, the ship sailed 20 * 30 = 600 kilometers the first day. If half the distance to the destination is 600 kilometers, then 2 * 600 = 1200 kilometers is the total distance from start to destination. One - third of the distance from start to destination is 1 / 3 * 1200 = 400 kilometers. Thus, the wind storm blew the ship in a westward direction for 600 - 400 = 200 kilometers. The answer is 200.
[Question]One student on a field trip counted 12 squirrels. Another counted a third more squirrels than the first student. How many squirrels did both students count combined?
[Answer]The second student counted 12 / 3 = 4 more squirrels than the first student. The second student counted 12 + 4 = 16 squirrels. Together, the first and second student counted 12 + 16 = 28 squirrels combined. The answer is 28.
Q: Mike and Ted planted tomatoes. In the morning, Mike planted 50 tomato seeds while Ted planted twice as much as Mike. In the afternoon, Mike planted 60 tomato seeds while Ted planted 20 fewer tomato seeds than Mike. How many tomato seeds did they plant altogether?
A: Ted planted 2 x 50 = 100 tomato seeds. So, Mike and Ted planted 50 + 100 = 150 tomato seeds in the morning. In the afternoon, Ted planted 60 - 20 = 40 seeds. Thus, Mike and Ted planted 60 + 40 = 100 tomato seeds in the afternoon. Therefore, they planted 150 + 100 = 250 tomato seed altogether. The answer is 250.
Question: There are chickens roaming the chicken farm. The roosters outnumber the hens 2 to 1. If there are 9,000 chickens on the chicken farm, how many roosters are there?
Answer:
There are 9000 / (2 + 1) = 3000 hens on the farm. There are 3000 * 2 = 6000 roosters on the farm. The answer is 6000.