[Question]The rim of a standard basketball hoop is 10 feet above the ground. Additionally, most experts will say that a player must be able to reach at least 6 inches above the rim to dunk a basketball. Suppose a basketball player is 6 feet tall and can reach 22 inches above their head using the wingspan of their arms. How high must this player be able to jump to reach 6 inches above the rim to dunk a basketball?
[Answer]In inches, the height of the rim is 10 * 12 = 120 inches. Thus, the height that the player needs to be able to reach is 120 + 6 = 126 inches. Without jumping, the player can reach their height plus an additional 22 inches, or a total of 6 * 12 + 22 = 94 inches. Therefore, the player needs to jump 126 - 94 = 32 inches to reach the height required to dunk a basketball. The answer is 32.
Q: A farm has 100 chickens. 20 percent are Black Copper Marans, and 80 percent of the Black Copper Marans are hens. How many BCM hens are there?
A: Black Copper Marans: 100(.20) = 20. BCM Hens:20(.80) = 16. The answer is 16.
Question: James buys twice as many toy soldiers as toy cars. He buys 20 toy cars. How many total toys does he buy?
Answer: He buys 2 * 20 = 40 toy cars. So the total number of toys is 20 + 40 = 60. The answer is 60.
[Question]Mike and John dined at the Taco Palace restaurant. They each ordered the Taco Grande Plate as their main meal, but Mike also ordered a side salad for $2, a plate of cheesy fries for $4, and a diet cola for $2. As a result, Mike's lunch bill was twice as large as John's bill. What was the combined total cost, in dollars, of Mike and John's lunch?
[Answer]Let "x" be the cost in dollars of the Taco Grande Plate. Since twice the cost of John's Taco Plate equals the cost of Mike's Taco Plate plus added items, then 2x = x + 2 + 4 + 2. Simplifying the equation, we get 2x = x + 8. Subtracting x from each side of the equation, we are left with x = 8 dollars as the cost of the Taco Grande Plate. Thus the combined total cost of Mike and John's lunch is 8 + 8 + 2 + 4 + 2 = 24 dollars. The answer is 24.
Q: The tank of John's car is full: it contains 47 liters of gasoline. After a journey of 275 km, there are 14 liters left. What is the fuel consumption of this car per 100 km?
A: The car consumed 47 liters - 14 liters = 33 liters of gasoline for 275 km. Let x be the fuel consumption per 100 km. We can write the proportion: 33 / 275 = x / 100. The cross product gives: 275 x = 33 * 100. So the car consumes x = 3300 / 275 = 12 liters per 100 km. The answer is 12.
Question: Karen had the giant box of crayons, containing twice as many crayons as were in Beatrice's box. But Beatrice's box contained twice as many crayons as were in Gilbert's box of crayons. And Gilbert had four times as many crayons as were in Judah's box of crayons. If Karen's box contained 128 crayons, how many crayons were in Judah's box?
Answer:
If Karen's 128 crayons were twice as many as were in Beatrice's box, there were 128 / 2 = 64 crayons in Beatrice's box. And since Beatrice's box contained twice as many crayons as were in Gilbert's box of crayons, then Gilbert had 64 / 2 = 32 crayons. And since Gilbert had four times as many crayons as Judah, then Judah had 32 / 4 = 8 crayons. The answer is 8.