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Re: If Carla, Nora, and Wanda have a total of $48, how much money does Car
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26 May 2017, 11:28
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SajjadAhmad wrote:
If Carla, Nora, and Wanda have a total of $48, how much money does Carla have?
(1) The positive difference between the amounts of money that Carla and Nora have is $12. (2) Nora and Wanda have the same amount of money.
Target question:How much money does Carla have?
Given: Carla, Nora, and Wanda have a total of $48
Statement 1: The positive difference between the amounts of money that Carla and Nora have is $12 So, EITHER Carla has $12 more than Nora OR Carla has $12 less than Nora. This certainly doesn't seem very helpful. ALSO, there's no information about Wanda. Statement 1 is clearly NOT SUFFICIENT
Statement 2: Nora and Wanda have the same amount of money. No information about Carla. Statement 2 is clearly NOT SUFFICIENT
Statements 1 and 2 combined Let's examine the 2 possible cases from statement 1 in conjunction with statement 2. Case a: Carla has $12 more than Nora Let x = the $ Nora has This means that x+12 = the $ Carla has And x = the $ Wanda has (since Nora and Wanda have the same amount of money) Since the TOTAL = $48, we can write: x + (x+12) + x = 48 Simplify: 3x + 12 = 48 Solve: x = 12 Since x+12 = the $ Carla has, we can conclude that 12+12 = Carla's money. In other words, Carla has $24
Case b: Carla has $12 less than Nora Let x = the $ Carla has This means that x+12 = the $ Nora has And x+12 = the $ Wanda has (since Nora and Wanda have the same amount of money) Since the TOTAL = $48, we can write: x + (x+12) + (x+12) = 48 Simplify: 3x + 24 = 48 Solve: x = 8 In other words, Carla has $8 Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT