Can the family get on the elevator, or will the elevator be over capacity?

Question

The weight capacity of an elevator is 1.5 tons. The total weight of the elevator's current passengers is 1,092 kilograms. A family of five is waiting to get on the elevator. The family includes three adults weighing 203, 114, and 135 pounds, as well as two children weighing 75 and 83 pounds. Can the family get on the elevator, or will the elevator be over capacity?

Answer 1

First, convert pounds (lbs) to kilograms (kg) for each of the family members and add the weights up OR add the weights of the family members together in pounds then convert the total weight from pounds to kilograms.

Then, take the total weight of the family ( in kilograms) and add that value to 1,092 kilograms (the total weight of the current passengers in the elevator)

Lastly, find out how many kilograms 1.5 tons are and compare to see if the total weight of the family + the total weight of the current passengers is greater than or less than 1.5 tons ( aka 1,360.78 kilograms)

If the total weight is greater than 1.5 tons then the family cannot get on the elevator.

If the total weight is less than 1.5 tons then the family can get on the elevator.

203 + 114 + 135 + 75 + 83 = 610 pounds (lbs)

610 pounds = 276.69 kilograms

Family total + Current total

276.69 + 1092 = 1368.69 kilograms

1.5 tons = approx. 1360.78 kilograms

1368.69 is GREATER THAN 1360.78

Therefore, the family CANNOT get on the elevator

Answer 2

Let's begin by choosing a unit of weight that we will work with. Your problem has tons, kilograms and pounds.

We will pick pounds, since there are more numbers with this unit.

The elevator will hold 1.5 tons. There are 2000 pounds in a ton which makes the weight capacity of the elevator 1.5 (2000) = 3000 pounds.

The passengers on the elevator already weigh 1,092 kilograms. Change the kilograms into pounds.

1 kilogram = 2.20462 pounds.

1092 (2.20462) = 2407 ( we will round it to the nearest whole number.

Of the 3000 pound capacity, there is already 2407 pounds which leaves

3000 - 2407 = 593 pounds available.

Adding the weight of the family, 203, 114, 135, 75 and 83 = 610, we see that they weigh a little too much to ride. 610 - 593 = 17 pounds too much. Probably the weight of the big guy's shoes.

Hope this helps.

Answer 3

1.5 T - 3000 lbs

1092 kg / 2.2 lb/kg = 496.36 lbs

Add this to the weight of the five passengers.

Answer 4

1 US ton = 2000 pounds

1kg = 2.2 pounds

1.5 tons = 3000 pounds

The family includes three adults weighing 203, 114, and 135 pounds, as well as two children weighing 75 and 83 pounds.

The total weight of the family is 203+114+135 + 75+83 = 610 pounds

The current weight is 1092 kg *2.2 = 2402.4 pounds

So the capacity, being 3000 pounds is too little to compensate 2403.4 + 610 = 3013.4 pounds, the family should wait for the next elevator