Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question

Chapter 4.2, Problem 32E

To determine

To find the greatest number of identical bands that can be formed using all the participants.To find the number of vocalists in each band.

Expert Solution & Answer

Answer to Problem 32E

8 bands and 4 vocalists.

Explanation of Solution

Given Information: a musical camp consisting of 88 participants have 32 vocalists, 16 drummers, 24 guitarists and 16 bassists.

Formula used: Calculate Greatest common factor using factor method of monomial to see the identical number of bands.

Calculation:

Part I:

In order to find the greatest number of identical bands, calculate the GCF of the 4 categories.

The factors of 16 drummers are: 1, 2, 4, 8, 16

The factors of 16 bassists are: 1, 2, 4, 8, 16

The factors of 24 guitarists are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 32 vocalists are: 1, 2, 4, 8, 16, 32

Then the greatest common factor amongst 4 categories is 8.

By this can observe, a total number of 8 identical bands can be made out of 88 participants. These are the greatest number of bands that can be formed.

Part II:

To find the total number of vocalists in each band, divide the total number of bands(i.e. GCF) by the total number of vocalists(i.e. the 4th category)

4 vocalists can be in each band.

Chapter 4.2, Problem 31E

Chapter 4.2, Problem 33E

Chapter 4 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - Prob. 6C Ch. 4.1 - Prob. 7C Ch. 4.1 - Prob. 8C Ch. 4.1 - Prob. 9C Ch. 4.1 - Prob. 10C

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Algebra And Trigonometry (11th Edition)
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Introduction to Linear Algebra, Fifth Edition
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ISBN:9780134463216

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