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 8P

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 ninth-grade class has 17 more girls than boys. There are 431 students in all. How many boys are there? How many girls are there? Choices for the number of boys: 191, 202, 207.

Expert Solution & Answer

Answer to Problem 8P

The number of boys a=207 and the number of girls a+17=207+17=224

Explanation of Solution

Given information:Ninth grade class has 17 more girls than boys and there are 431 students in total.

Calculation:

Step 1: Here we have two unknowns, girls and boys.

Step 2: Let a be the number of boys and a+17 be the numbers of girls.

Step 3: As given, the strength of class is 431, so a+(a+17)=431

Step 4: Choices for a are given as 191, 202, 207.

a	a+(a+17)=431	True / False
191	191+(191+17)=431	False
202	202+(202+17)=431	False
207	207+(207+17)=431	True

From above table we can say that number of boys a=207 and the number of girls

a+17=207+17=224

Step 5: Now we verify the answer

number of girls is17 more than boys 224−207=17 , which is correct

Total number of students are 431, so 207+224=431 , which is also correct.

Chapter 1.7, Problem 7P

Chapter 1.7, Problem 9P

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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