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 17P

To determine

To calculate: Solve using the five-step plan. Write out each step. A choice of possible numbers for one unknown is given.Luis weighs 5 lb more than Carla. Carla weighs 2 lb more than Rita. Together their weights total 333 lb . How much does each weigh? Choices for Luis's weight: 110, 115, 120

Expert Solution & Answer

Answer to Problem 17P

The weight of Luis is 115 lb , weight of Carla is a−5=115−5=110 lb and the weight of Rita is

[(x−5)−2]=[(115−5)−2]=108 lb

Explanation of Solution

Given information:Luis weighs 5 lb more than Carla. Carla weighs 2 lb more than Rita. Together their weights total 333 lb .

Calculation:

Step 1: Here we have three unknowns, weight of Luis, Carla and Rita.

Step 2: Let a be theweight of Rita, (a−5) be the weight of Carla and [(a−5)−2] be the weight of Rita.

Step 3: As given, theirtotal weight is 333, such that a+(a+5)+[(a+5)+2]=333

Step 4: Choices for a are given as 110, 115, 120.

a	a+(a+5)+[(a+5)+2]=333	True / False
110	110+(110+5)+[(110+5)+2]=333	False
115	115+(115+5)+[(115+5)+2]=333	True
120	120+(120+5)+[(120+5)+2]=333	False

From above table we can say that the weight of Luis is 115 lb , weight of Carla is

a−5=115−5=110 lb

and the weight of Rita is

[(x−5)−2]=[(115−5)−2]=108 lb

Step 5: Now we verify the answer

Luis weighs 5 lb more than Carla: 115−5=100 lb , which is correct

Carla weighs 2 lb more than Rita: 110−108=2 lb , which is also correct.

Combined weight is 333 lb : 115+110+108=333 lb

Chapter 1.7, Problem 16P

Chapter 1.7, Problem 18P

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.Luis weighs 5 l b more than Carla. Carla weighs 2 l b more than Rita. Together their weights total 333 l b . How much does each weigh? Choices for Luis's weight: 110, 115, 120