### Problem StatementEach bag to be loaded onto a plane weighs either 12, 18, or 22 pounds. If the plane is carrying exactly 1000 pounds of luggage, what is the largest number of bags it could be carrying?### Options- 80- 81- 82- 83- 84### ExplanationThe goal is to maximize the number of bags while ensuring the total weight equals 1000 pounds. To achieve this, use a greater number of the lightest bags (12 pounds) and adjust with heavier bags as necessary to reach exactly 1000 pounds. Solving this involves determining combinations of 12, 18, and 22-pound bags that sum to the total weight.

Name: ### Problem StatementEach bag to be loaded onto a plane weighs either
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Description: ### Problem StatementEach bag to be loaded onto a plane weighs either 12, 18, or 22 pounds. If the plane is carrying exactly 1000 pounds of luggage, what is the largest number of bags it could be carrying?### Options- 80- 81- 82- 83- 84### Explanati

The weight of the lightest bag is 12 pounds Lighter the weight of the bad more the number of bags a plane can carry. Plane can carry the largest number of bags only when the weight of each bag is 12 pounds . Thus number of bags that plane can carry: Number of bags=Total weight a plane can carryWeight of each bag =100012 =83.333 ~83 Thus, the correct option is 4th (83)

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8. Each bag to be loaded onto a plane weighs either 12, 18, or 22 pounds. If the plane is carrying exactly 1000 pounds of luggage, what is the largest number of bags it could be carrying?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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### Problem Statement

Each bag to be loaded onto a plane weighs either 12, 18, or 22 pounds. If the plane is carrying exactly 1000 pounds of luggage, what is the largest number of bags it could be carrying?

### Options

- 80
- 81
- 82
- 83
- 84

### Explanation

The goal is to maximize the number of bags while ensuring the total weight equals 1000 pounds. To achieve this, use a greater number of the lightest bags (12 pounds) and adjust with heavier bags as necessary to reach exactly 1000 pounds. Solving this involves determining combinations of 12, 18, and 22-pound bags that sum to the total weight.

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