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Ch 7-2 Word Problems. By Dr. Marinas. Steps to Solving Word Problems. Word Problem Mathematical Model Mathematical Solution Word Problem Interpretation. Page 357 #2 (Word Problem). David has 3 times as much money as Rick. Rick’s money. Page 357 #2 (Math Model).
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Ch 7-2 Word Problems By Dr. Marinas
Steps to Solving Word Problems • Word Problem • Mathematical Model • Mathematical Solution • Word Problem Interpretation
Page 357 #2 (Word Problem) • David has 3 times as much money as Rick. • Rick’s money.
Page 357 #2 (Math Model) • If x is the value of Rick’s money, then David has 3x dollars. • So x + 3x = 400 • David and Rick has $400.00 together.
Page 357 #2 (Math Solution) • So x + 3x = 400 • 4x = 400 • x = 100
Page 357 #2 (Word Problem Interpretation) • x = 100 • Rick has $100 (x) • David has $300 (3x) • David has $300 • Rick has $100
Page 357 #5 (Consecutive Integers) • Name 3 consecutive numbers • Example : 3, 4, 5 • If x is the first of the 3 consecutive numbers, what are the other 2? • First is x; second is x + 1; third is x + 2
Page 357 #5 (continued) • The sum of 3 consecutive integers is 237. • Sum means addition so: • x + (x + 1) + (x + 2) = 237 • 3x + 3 = 237 • 3x = 234 • x = 78 • So the numbers are 78, 79, 80
Homework - Pages 357-58 • # 3 (like #2 from class) • # 4 (tickets to an event) • # 6 (like #5 only consecutive even integers) • # 9 (like #6 consecutive even integers) • #10 (faculty reduction) • #16 (reading a book) • READ and STUDY section 7-3 Lines