Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Question

Chapter 5.4, Problem 35E

To determine

What is the cost of one notebook? What is the cost of one package of pencils?

Expert Solution & Answer

Answer to Problem 35E

1 notebook: $1.32

1 pencil package: $0.92

Explanation of Solution

Given information: Consumerism: Kareem and Erin went shopping for school supplies. Kareem bought 3 notebooks and 2 packages of pencils for $5.80. Erin bought 4 notebooks and 1 package of pencils for $6.20.

Calculation:

Let the cost of a notebook be n and the cost of a package of pencils be p . then solve as a system of linear equations.

{3n+2p=5.80}{4n+p=6.20}

Solving both equations for p and setting them equal. This is showing the relationship between money spent and notebooks purchased, so we can solve for n.

12(5.80−3n)=6.20−4n

Here get the price of the notebooks to be $1.32

{5.80−3n=12.40−8n}{5n=6.60}{n=1.32}

Solving for p using the value of n and the first equation above

3⋅(1.32)+2p=5.80∴p=0.92

Thus,

1 notebook: $1.32

1 pencil package: $0.92

Chapter 5.4, Problem 34E

Chapter 5.4, Problem 36E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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