Page 897 - Algebra 1

Use logical reasoning when you are given many facts in a problem. Using Logical Reasoning to Solve a Problem
Janie, Christa, Lisa, and Brandi had golf scores of 110, 123, 78, and 86. Christa did not shoot a 110. The person who shot an 86 is Janie’s sister and Christa’s aunt. Brandi shot a 123. What did Christa shoot?
Understand
Find Christa’s golf score.
• There are 4 scores and 4 people.
• Some information on who shot what score is given.
Plan
Organize the information in a table. Start with the fact that Brandi shot a 123 and Christa did not shoot a 110.
Brandi shot a 123, so no other player had that score.
Janie’s sister and Christa’s aunt shot an 86, so Janie and Christa cannot have that score.
Solve
Enter a Y for yes or N for no in the table.
Once you enter a Y in a cell, enter a N in the remaining cells for that row or that
column.
Example
6
Score
110
123
78
86
Janie
Y
N
N
N
Christa
N
N
Y
N
Lisa
N
N
N
Y
Brandi
N
Y
N
N
Christa shot a 78.
Check
Complete the table. Read the problem again while looking at the table to make sure all the information entered is correct.
Skills Bank Practice
a. Bill, John, Marc, and Terry all have different color eyes (green, brown, blue, and hazel). Marc does not have hazel eyes. The person who has blue eyes is Bill’s brother and Marc’s uncle. Terry has green eyes. What is the color of each person’s eyes?
882 Saxon Algebra 1