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High School Math Algebra Algebra: Structure And Method, Book 1

To translate each problem into an equation and to find the number of women in state college.

To translate each problem into an equation and to find the number of women in state college.

Algebra: Structure And Method, Book 1

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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Concept explainers

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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Question

Chapter 1.6, Problem 4P

To determine

To translate each problem into an equation and to find the number of women in state college.

Expert Solution & Answer

Answer to Problem 4P

Required equation: x+x+20=620.

The number of women in state college is 320.

Explanation of Solution

Given information:

Total number of students in a State college = 620 students.

Number of women are 20 more than men.

Calculation:

Let the number of man = x

Number of women (20 more than man) = x+20

According to problem,

Number of men + number of women = 620

Therefore, given problem could be written as an equation:

x+x+20=620

Now, we need to solve it for x .

Adding like terms:

⇒2x+20=620

Subtract 20 from both side of the equation.

2x+20−20=620−20

Simplify

2x=600

Divide by 2 on both sides

⇒2x2=6002

⇒x=300

Therefore, the number of men is 300.

And the number of women = x+2=300+20=320

So, the number of women is 320.

Chapter 1.6, Problem 3P

Chapter 1.6, Problem 5P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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