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 1.7, Problem 10P

To determine

To calculate: Solve using the five step plan. Write out each step. A choice of possible numbers for one unknown is given.Western State College is 18 years older than Southern State. Western is also 212 times as old as Southern. How old is each? Choices for Southern State's age: 12, 14, 18.

Expert Solution & Answer

Answer to Problem 10P

The age of Southern State is a=12 and the age of Western State is a+18=12+18=30

Explanation of Solution

Given information:A bus went 318 km farther than a car and the car went one third as far as the bus.

Calculation:

Step 1: Here we have two unknowns, age of the Southern state and age of Western state.

Step 2: Let a be the age of Southern State and a+18 be the age of Western State.

Step 3: As given, Western is also 212 times as old as Southern, such that a+18=2.5a .

Step 4: Choices for a are given as 12, 14, 18

a	a+18=2.5a	True / False
12	12+18=2.5(12)	True
14	14+18=2.5(14)	False
18	18+18=2.5(18)	False

From above table we can say that the age of Southern State is a=12 and the age of Western State is a+18=12+18=30

Step 5: Now we verify the answer

Western State is 18 years older than Southern State: 30−18=18 , which is correct

Western State is 2.5 times as old as Southern State: 12(2.5)=30 , which is also correct.

Chapter 1.7, Problem 9P

Chapter 1.7, Problem 11P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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Solve using the five step plan. Write out each step. A choice of possible numbers for one unknown is given.Western State College is 18 years older than Southern State. Western is also 2 1 2 times as old as Southern. How old is each? Choices for Southern State's age: 12, 14, 18.

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To calculate: Solve using the five step plan. Write out each step. A choice of possible numbers for one unknown is given.Western State College is 18 years older than Southern State. Western is also 212 times as old as Southern. How old is each? Choices for Southern State's age: 12, 14, 18.

Answer to Problem 10P

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