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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Question

Chapter 1.7, Problem 7P

To determine

To calculate: Solve using the five-step plan. Write out each step. A choice of possible numbers for one unknown is given.The U.S. Senator has 100 members, all Democrats than Republicans. Recently there were 12 more Democrats than Republicans. How many Senators from each political party were there at that time? Choices for the number of Republicans: 38, 42, 44

Expert Solution & Answer

Answer to Problem 7P

The number of republicans a=38 and number of democrats is 62

Explanation of Solution

Given information:The U.S. Senator has 100 members, all Democrats than Republicans and there were 12 more Democrats than Republicans.

Calculation:

Step 1: Here we have two unknowns.

Step 2: Let a be the number of republics, so that a+12 democrats.

Step 3: As given, R+D = 100.

Step 4: Choices for a are given as 38, 42, 44

a	R + D = 100	True / False
42	42	False
38	38	True
44	44	False

From above table we can say that number of republicans a=38 and number of democrats is 62

Step 5: Now we verify the answer

38+D=100

12+D=D+38

12+50=62

which is correct

Chapter 1.7, Problem 6P

Chapter 1.7, Problem 8P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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