Algebra: Structure And Method, Book 1

(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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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Question

Chapter 1.6, Problem 8P

To determine

To translate each problem into an equation and to find the number of games did Ravens win.

Expert Solution & Answer

Answer to Problem 8P

Required equation: x+2x=96 .

Ravens won 64 games.

Explanation of Solution

Given information:

The Ravens won twice as many games as they lost and they played total 96 games.

Calculation:

Let the number of matches lost by Ravens = x .

According to the first condition:

Number of matches won by Ravens (twice as many games as they lost) = 2x .

According to the second condition:

Total number of games as they played = x+2x=96 .

x+2x=96

Now, we need to solve it for x

Adding the like terms:

⇒3x=96

Divide by 3 on both sides

⇒3x3=963

⇒x=32

Therefore, the number of matches lost by Ravens is 32.

And the number of matches won by Ravens = 2x

= 2×32=64

Chapter 1.6, Problem 7P

Chapter 1.6, Problem 9P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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