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27 Dec 2005, 18:16
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Bookmarks
Hello All
I saw this question on Kaplan 800 and I selected C but the book says it's B, here it goes
Three children, Alice, Brian and Chris, have a total of $1.20 between them. Does Chris have the most money?
(1) Alice has 35 cents
(2) Chris has 40 cents
The books answer which is thoroughly confusing
The stem tells you that A+B+C= 120. You could find the value of C if you had a value for A+B or if you had another two different equations containing, A,B or C such that all three equations are different. Notice that you don't need to solve for C, however, you merely need to find out if it's the largest amount
If
Statement (2): If C=40, then A+B+40= or A+B=80. If B>A then B must be greater than 80/2=40, so B>C. Similarly, if A>B then A must be greater than 40 and also greater than C. And if A=B, then A+B=40, so all three children have 40 cents. So either A or B has the most money; or all three children have the same amount of money. The answer to the question in the stem is "no". B wins.
Why isn't it C????
I saw this question on Kaplan 800 and I selected C but the book says it's B, here it goes
Three children, Alice, Brian and Chris, have a total of $1.20 between them. Does Chris have the most money?
(1) Alice has 35 cents
(2) Chris has 40 cents
The books answer which is thoroughly confusing
The stem tells you that A+B+C= 120. You could find the value of C if you had a value for A+B or if you had another two different equations containing, A,B or C such that all three equations are different. Notice that you don't need to solve for C, however, you merely need to find out if it's the largest amount
If
Statement (2): If C=40, then A+B+40= or A+B=80. If B>A then B must be greater than 80/2=40, so B>C. Similarly, if A>B then A must be greater than 40 and also greater than C. And if A=B, then A+B=40, so all three children have 40 cents. So either A or B has the most money; or all three children have the same amount of money. The answer to the question in the stem is "no". B wins.
Why isn't it C????
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27 Dec 2005, 19:23
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norae
I think the explanation is very clear.
Chris has 40 cents --> Alice and Brian have 80 cents as the rest. One of the two latter must have more than 40 cents OR both equally have 40 cents. In both cases, Chris CAN'T be the one who has most money. He CAN only be the one who has second most money OR he has the exactly same amount of money to alice's and Brian's --> answer to the question is clearly NO ---> B stands ---> Then there's no need to consider C.
