[Question]: Fiona and Casey share the hoodies they own. Between the two of them, they own eight hoodies. Casey owns two more than Fiona. How many hoodies does Fiona own?
[Answer]: Let H be the number of hoodies Fiona owns. Casey owns H + 2 hoodies. Together, they own H + H + 2 = 2H + 2 = 8 hoodies. Thus, 2H = 8 - 2 = 6 hoodies. Therefore, Fiona owns H = 6 / 2 = 3 hoodies.
So the answer is 3.

[Question]: Mark constructs a cube of pure gold. The cube is 6 cm on each side. The density of gold is 19 grams per cubic centimeter. He buys the gold for $60 per gram. He sells it for 1.5 times its gold value. What was the profit?
[Answer]: The cube is 6 * 6 * 6 = 216 cubic cm. So it has a mass of 216 * 19 = 4104 grams. So it uses 60 * 4104 = $246240. That means he sells it for 246240 * 1.5 = $369360. So he has a profit of 369360 - 246240 = $123,120.
So the answer is 123120.

[Question]: In a classroom of 81 students, two-thirds are wearing striped shirts while the others are wearing checkered shirts. If there are 19 more students wearing shorts than checkered shirts, how many more students are wearing striped shirts than shorts?
[Answer]:
81 / 3 = 27 students are wearing checkered shirts. 27 x 2 = 54 students are wearing striped shirts. 27 + 19 = 46 students are wearing shorts. 54 - 46 = 8 more students are wearing striped shirts than shorts.
So the answer is 8.