Karen is packing her backpack for a long-distance hike. She packs 20 pounds of water, 10 pounds of food, and 20 pounds of gear. During her hike, she drinks 2 pounds of water per hour and eats 1/3rd the weight of food per hour as water per hour. How much weight is she carrying after six hours?
Let's think: First find the weight of food Karen eats every hour: 2 pounds * 1 / 3 = 2 / 3 pounds food. Then find the total amount of weight Karen's backpack loses per hour she hikes: 2 pounds water / hour + 2 / 3 pound food / hour = 8 / 3 pounds / hour. Multiply this by the number of hours she hikes to find the total amount of weight she loses: 8 / 3 pounds / hour * 6 hours = 16 pounds. Add the weight of all her items to find total starting weight: 20 pounds + 10 pounds + 20 pounds = 50 pounds. Then subtract the weight she loses from the starting weight to find the weight after 6 hours: 50 pounds - 16 pounds = 34 pounds.. The answer is: 34.

A movie theater has 6 screens which show movies back-to-back all day. If the movie theater is open for 8 hours, and each movie lasts 2 hours, how many movies are shown in total throughout the day?
Let's think: Each screen shows movies all day, which means each screen shows 8 hours / day / 2 hours per movie = 4 movies / day. So in total, the movie theater shows 6 screens * 4 movies / day = 24 movies.. The answer is: 24.

Justin bought some jerseys. He bought four long-sleeved ones that cost $15 each, and some striped ones that cost $10 each. How many striped jerseys did Justin buy if he spent a total of $80?
Let's think: Four long - sleeved jerseys cost $15 x 4 = $60. So the striped jerseys amount to $80 - $60 = $20. Hence, Justin bought $20 / $10 = 2 striped jerseys.. The answer is: 2.

Sean has 4 dollars more than half as much money as Fritz. Rick has 3 times as much money as Sean. If Fritz has 40 dollars, how much money do Rick and Sean have?
Let's think:
Sean has 40 / 2 + 4 = 24 dollars. Rick has 24 * 3 = 72 dollars. Sean and Rick have 24 + 72 = 96 dollars together.. The answer is: 96.