Question

Jeffrey is loading cases of bottled water onto a freight elevator. There are 24 one-pint bottles in each case. The maximum weight that the elevator can carry is 1,000 pounds. If 1 gallon of water weighs 8.35 pounds, what is the maximum number of full cases Jeffrey can load onto the elevator?

Answer 1

39 number of full cases.

Explanation:

We know that 1 US liquid pint is equivalent to 0.125 US liquid gallons.

So, 24 one-pint bottles is equivalent to (24 × 0.125) =3 gallons.

Therefore, one full case of bottled water is equal to 3 gallons.

Now, 1 gallon is equal to 8.35 pounds

And hence, 3 gallons is equal to (8.35 × 3) = 25.05 pounds.

If the maximum weight that the elevator can carry is 1000 pounds, then the maximum number of cases of bottled water that the elevator can carry is
`(1000)/(25.05) = 39.92` ≈ 39

We can not take the number as 40, because then the total weight will become more than 1000 pounds which is not allowed. (Answer)