What is the total number of coins that Bert and Clair have?
2 Explanations
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Cydney Seigerman, Magoosh Tutor
Hi Jay :)
Yes, we can use the relationship B = 1.5C, where B is the number of coins Bert has and C is the number of coins Claire has, to solve this problem. Using the information from the two statements we can write the following equations.
B = 1.5C
B + C = N
--> Replace B with 1.5C: 1.5C + C = N --> 2.5C = N
21 < N < 28
21 < 2.5C < 28
Both B and C must be integers, since it doesn't make sense in the context of the problem to have a fractional number of coins. The possible values for the total number of coins, according to S2 are: 22, 23, 24, 25, 26, and 27. With this in mind, the only possible value that gives us an integer value for C is N = 25. Since there is only 1 possible value for the total number of coins, the answer is C, "Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient."
2 Explanations