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1. The sum of three consecutive odd integers is 27. Find the three integers.

1. The sum of three consecutive odd integers is 27. Find the three integers.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 23E
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Learning Activity 3.2 Directions: Solve the following problems with the use of Polya's four-step problem solving procedures similar on the presentation on this topic. 1. The sum of three consecutive odd integers is 27. Find the three integers. 2. If the perimeter of a tennis court is 228 feet and the length is 6 feet longer than twice the width, then what are the length and the width? Learning Activity 3.3 1. A pattern of squares is put together as shown. How many squares are in the 12th diagram? 2. Oswald is trying to cut down on drinking coffee. His goal is to cut down to 6 cups per week. If he starts with 24 cups the first week, then cuts down to 21 cups the second week and 18 cups the third week, how many weeks will it take him to reach his goal? Learning Activity 3.4 Directions: Do as indicated. 1. Place 10 coins in five straight lines so that each line contains exactly four coins. Can you arrange four coins so that if you choose any three of them (i.e., no matter which three of the four you pick), the three coins you chose form the corners of an equilateral triangle? 2. If you add the square of Tom's age to the age of Mary, the sum is 62; but if you add the square of Mary's age to the age of Tom, the result is 176. Can you say what the ages of Tom and Mary are?
Transcribed Image Text:Learning Activity 3.2 Directions: Solve the following problems with the use of Polya's four-step problem solving procedures similar on the presentation on this topic. 1. The sum of three consecutive odd integers is 27. Find the three integers. 2. If the perimeter of a tennis court is 228 feet and the length is 6 feet longer than twice the width, then what are the length and the width? Learning Activity 3.3 1. A pattern of squares is put together as shown. How many squares are in the 12th diagram? 2. Oswald is trying to cut down on drinking coffee. His goal is to cut down to 6 cups per week. If he starts with 24 cups the first week, then cuts down to 21 cups the second week and 18 cups the third week, how many weeks will it take him to reach his goal? Learning Activity 3.4 Directions: Do as indicated. 1. Place 10 coins in five straight lines so that each line contains exactly four coins. Can you arrange four coins so that if you choose any three of them (i.e., no matter which three of the four you pick), the three coins you chose form the corners of an equilateral triangle? 2. If you add the square of Tom's age to the age of Mary, the sum is 62; but if you add the square of Mary's age to the age of Tom, the result is 176. Can you say what the ages of Tom and Mary are?
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