A box of nails weighs 130 pounds when it is 2/3 full. It weighs 74 pounds when it is 3/8 full. What is the weight of the box?

Let the weight of the full Volume of nails in the box be W.

Let the weight of the box be B.

2/3 W + B = 130 ... i From the first statement.

3/8 W + B = 74 ... ii From the second statement.

Equation (i) Minus (ii)

2/3 W - 3/8 W + B - B = 130 - 74

(16W - 9W) / 24 = 56

7W / 24 = 56.

W = 56 * 24 / 7

W = 192 Pounds.

Substituting V = 64 in equation (i)

2/3 W + B = 130

2/3 * 192 + B = 130

2 * 64 + B = 130

128 + B = 130

B = 130 - 128 = 2.

Therefore, weight of box, B = 2 pounds.