Eight 10 1/8 pound boxes can be packed into a crate that weighs 4 pounds empty. How much does the crate weigh when it is a quarter full?

Question

Eight 10 1/8 pound boxes can be packed into ancrate that weighs 4 pounds empty. How much does the crate weigh when it is a quarter full?

Answer 1

The weight of the crate when empty is 4 lb. That will not change. The capacity of the crate is 8 * (10 1/8) = 81 lb. If it is a quarter full, then the crate holds 1/4 * (81) = 81/4 = 20 1/4 lb. Therefore, the weight of the crate when 1/4 full is 20 1/4 + 4 = 24 1/4 lb.