Problem Solving Strategy s1

Problem Solving Strategy Logical Reasoning Examples 1. Stephen, Leticia, Shelley, and Ed emptied their banks. They found $7.75, $4.35, $5.00, and $10.00, but not necessarily in that order. Leticia has twice as much money as Shelley. Stephen has an amount between Shelley’s and Leticia’s. Who has $4.35?

Analyze-What are you asked to find? What information are you given?

Choose-What strategy will you use? (Logical Reasoning)

Solve-How will you solve the problem? Take the clues one at a time. Use a table to help. Only one box in each row and column can have a “yes”.

Leticia has twice as much money as Shelley. So, Leticia must have $10 and Shelly $5. Fill in “yes” in those boxes, and fill in “no” in the rest of the boxes in the rows and columns.

Stephen has an amount between Shelley’s and Leticia’s. $7.50 is between $5 and $10, so Stephen must have $7.50. Fill in the rest of the boxes with “yes” and “no”.

So, Ed has $4.35. Guided Practice

1. Arthur, Victoria, and Jeffrey are in sixth, seventh, and eighth grades, although not necessarily in that order. Victoria is not in eighth grade. The sixth grader is in chorus with Arthur and in band with Victoria. Which student is in each grade?

2. Use the following information to tell which numbers in the box at the right are A, B, C, D, and E. 1 • A is greater than D and less than C. -3.5 2 /2 • A and D are opposites. • E is the greatest number 0.43 4.3 -0.43 Homework

Amir, Katherine, Patrick, and Lee are comparing their stamp collections. Lee has twice as many stamps as Amir. Patrick has 5 fewer stamps than Katherine, who has 5 fewer stamps than Lee. Their collections consist of 15, 20, 25, and 30 stamps.

1. If Amir has 15 stamps, how many stamps does Patrick have? 2. The four have a total of 90 stamps. How many stamps does Katherine have?

3. Kathy, Arlene, and Helene are in line for concert tickets, though not necessarily in that order. Helene is behind Kathy. Kathy is not first in line Tell the order of the three in line.