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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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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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

Ch. 5.1 - Prob. 1CFU Ch. 5.1 - Prob. 2CFU Ch. 5.1 - Prob. 3CFU Ch. 5.1 - Prob. 4CFU Ch. 5.1 - Prob. 5CFU Ch. 5.1 - Prob. 6CFU Ch. 5.1 - Prob. 7CFU Ch. 5.1 - Prob. 8CFU Ch. 5.1 - Prob. 9CFU Ch. 5.1 - Prob. 10CFU

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