Q: There are 480 grains of rice in one cup. If half a cup is 8 tablespoons and one tablespoon is 3 teaspoons, how many grains of rice are in a teaspoon?
A: First find the number of tablespoons in a full cup: 8 tablespoons / half - cup * 2 half - cups / cup = 16 tablespoons. Then find the total number of teaspoons in a cup: 16 tablespoons / cup * 3 teaspoons / tablespoon = 48 teaspoons. Then find the number of grains of rice per teaspoon: 480 grains / 48 teaspoons = 10 grains / teaspoon. The answer is 10.

Q: A water tower that serves four neighborhoods around it holds 1200 barrels of water and is filled to the top each week. If one neighborhood uses 150 barrels of water in a week, the second neighborhood uses twice as many barrels of water as the first neighborhood in a week, and the third neighborhood uses one hundred more barrels of water than the second neighborhood in a week, how many barrels are left for the fourth neighborhood?
A: The second neighborhood uses 150 * 2 = 300 barrels of water. The third neighborhood uses 300 + 100 = 400 barrels of water. The first, second, and third neighborhoods together use 150 + 300 + 400 = 850 barrels of water. Thus, the fourth neighborhood has 1200 - 850 = 350 barrels of water left for it to use. The answer is 350.

Q: How many right triangles with a height of 2 inches and a width of two inches could fit inside a square with 2-inch sides?
A:
A triangle with a height of 2 inches and width of 2 inches has an area of 2 square inches because (1 / 2) x 2 x 2 = 2. The square has an area of 4 square inches because 2 x 2 = 4. 2 triangles would fit because 4 / 2 = 2. The answer is 2.