Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 5, Problem 19CT

To determine

To determine the new size of the club membership.

Expert Solution & Answer

Answer to Problem 19CT

The size of new club is 20.

Explanation of Solution

Given information :

Members of club assessed equal amounts to raise $400.

After 4 new members joined, per member assessment was reduced by $5.

Let us take the new size of the club be x.

Now, assessment per member is 400x.

Before 8 members joined, assessment per member was 400(x−4).

Hence the equation shall be,

400x−4−400x=5

Now we shall solve for x,

400x−4−400x=5400(x−x+4x2−4x)=5320=x2−4xx2−4x−320=0x2−20x+16x−320=0(x−20)(x+16)=0x=20,−16

(Ignore negative value)

Hence the size of new club is 20.

Chapter 5, Problem 18CT

Chapter 6.1, Problem 1OE

Chapter 5 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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