Derek is watching the construction cranes downtown and is trying to figure out how much taller they have to be than the building they are building. He sees one crane that is 228 feet tall finishing a building that was 200 feet tall. He sees another that is 120 feet tall finishing a building that is 100 feet tall. The final crane he sees is 147 feet tall, finishing a building that is 140 feet tall. On average, what percentage taller are the cranes than the building?
Let's think: The first crane is 14 percent taller because if 200 + 200x = 228 then x = .14. The second crane is 20 percent taller because if 100 + 100x = 120 then x = .2. The third crane is 5 percent taller because if 140 + 140x = 147 then x = .5. The total percent is 39 because 14 + 20 + 5 = 39. The average percent greater the height of the crane is than the building is 13 because 39 / 3 = 13.. The answer is: 13.

In a compound, the number of cats is 20% less than the number of dogs. There are also twice as many frogs as the number of dogs in the compound. Calculate the total number of animals present in the compound if there are 160 frogs.
Let's think: There are twice as many frogs as dogs in the compound, meaning there are 160 / 2 = 80 dogs. The total number of frogs and dogs in the compound is 80 + 160 = 240. The number of cats is less than 20% of the number of dogs, which means there are 20 / 100 * 80 = 16 dogs more than the number of cats. Therefore, the number of cats is 80 - 16 = 64 cats. The total number of animals in the compound is 64 cats + 240 dogs and frogs = 304 animals.. The answer is: 304.

Justin has a box that is 12 inches in height. The length of the box is 3 times its height and 4 times its width. What is the volume of the box?
Let's think: The length of the box is 3 x the height of 12 inches = 36 inches. The width of the box is 36 inches / 4 = 9 inches. The volume of the box is the height of 12 inches x the length of 36 inches x the width of 9 inches = 3,888 cubic inches.. The answer is: 3888.

Ken created a care package to send to his brother, who was away at boarding school. Ken placed a box on a scale, and then he poured into the box enough jelly beans to bring the weight to 2 pounds. Then, he added enough brownies to cause the weight to triple. Next, he added another 2 pounds of jelly beans. And finally, he added enough gummy worms to double the weight once again. What was the final weight of the box of goodies, in pounds?
Let's think:
To the initial 2 pounds of jelly beans, he added enough brownies to cause the weight to triple, bringing the weight to 2 * 3 = 6 pounds. Next, he added another 2 pounds of jelly beans, bringing the weight to 6 + 2 = 8 pounds. And finally, he added enough gummy worms to double the weight once again, to a final weight of 8 * 2 = 16 pounds.. The answer is: 16.