Answer 14 nickels are there in the collection. Explanation Given information: Collection of 52 dimes and nickels cost $4.50. Calculations: Let the number of nickels be x . And The number of dimes becomes 52 − x . Then Number Coin Value (in cents) Total Value (in cents) Dimes 52 − x 10 520 − 10x Nickels x 5 5x Now, The total value of the coins is $4.50 or 450 cents. Thus, We have 520 − 10 x + 5 x = 450 That becomes 520 − 5 x = 450 Subtract 520 from both sides: − 5 x = − 70 Divide the above Eq. by -5: x = − 70 − 5 = 14 Thus, There are 14 nickels in the collection.

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Question

Chapter 3.7, Problem 4P

To determine

To find: Number of nickels in the collection.

Expert Solution & Answer

Answer to Problem 4P

14 nickels are there in the collection.

Explanation of Solution

Given information:

Collection of 52 dimes and nickels cost $4.50.

Calculations:

Let the number of nickels be x .

And

The number of dimes becomes 52 − x .

Then

	Number	Coin Value (in cents)	Total Value (in cents)
Dimes	52 − x	10	520 − 10x
Nickels	x	5	5x

Now,

The total value of the coins is $4.50 or 450 cents.

Thus,

We have

520−10x+5x=450

That becomes

520−5x=450

Subtract 520 from both sides:

−5x=−70

Divide the above Eq. by -5:

x=−70−5=14

Thus,

There are 14 nickels in the collection.

Chapter 3.7, Problem 3P

Chapter 3.7, Problem 5P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

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2.1 Introduction to inequalities; Author: Oli Notes;https://www.youtube.com/watch?v=D6erN5YTlXE;License: Standard YouTube License, CC-BY

GCSE Maths - What are Inequalities? (Inequalities Part 1) #56; Author: Cognito;https://www.youtube.com/watch?v=e_tY6X5PwWw;License: Standard YouTube License, CC-BY

Introduction to Inequalities | Inequality Symbols | Testing Solutions for Inequalities; Author: Scam Squad Math;https://www.youtube.com/watch?v=paZSN7sV1R8;License: Standard YouTube License, CC-BY