Question

An airline estimates that each passenger with baggage weighs 205 pounds.

A gallon of fuel weighs 5 pounds
An airplane can carry 495 passengers and 49,500 gallons of fuel.
Estimate how much an airplane can carry

Options:
A: 300,000 pounds
B: 400,00 pounds
C: 350,000 pounds

Answer 1

The estimated weight that the airplane can carry is: Option C: 350,000 pounds

Explanation:

Given that each individual weighs 205 pounds with baggage and one gallon of fuel weighs 5 pounds.

We will work out the passengers weight first.

For Passengers:

Let w be the total weight of all passengers

`w = weight\ of\ one\ passenger * number\ of\ passengers\\w =205 * 495\\w =101475\ pounds`

For Fuel:

Let f be the total weight of fuel

Then

`f = Weight\ of\ one\ gallon * Number\ of\ gallons\\f = 5 * 49500\\f =247500`

Total weight = 101475 + 247500 = 348975 pounds

As 350000 is nearest to the calculated answer, it will be the right answer.

Hence,

The estimated weight that the airplane can carry is: Option C: 350,000 pounds