Lesson: Challenging Problem Solving - 06t03

Advanced Algebra: Example 1

[Page 6 of 37]

Review the following question and then proceed to the task below.

On segment JN above, JL = 38 and KN = 44. If KL is 3 times the length of LM, and if MN is half the length of JK, what is the length of KM?
40
32
24
10
It cannot be determined from the information given.
Which of the following Problem Solving approaches can be used to solve the question above? Select Yes or No and then click Continue.
  YES NO
Backsolving:
Picking Numbers:
Algebra:
Use CAT's Backsolving strategy to solve the problem above. Let's start out by using Choice (B) to complete the following statement. Enter your responses into the textboxes below and then click Continue.
If KM = 32, then KL = and LM = .

The question stem states that KL is three times the length of LM. Since we are assuming for the moment that KM = 32, we must divide this number by 4 to get 4 equal lengths of 8; KL consists of three of these lengths, or 24, while LM consists of 1 length, or 8.
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