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13 Mar 2019, 05:44
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D
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Difficulty:
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Question Stats:
55% (01:46) correct
45%
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There are only nickels, dimes, and quarters in a piggy bank. If the number of quarters is twice the number of dimes, and the number of dimes is twice the number of nickels, what is the ratio of the total value of the quarters to the total value of the nickels?
(A) 4:1
(B) 10:1
(C) 16:1
(D) 20:1
(E) 40:1
(A) 4:1
(B) 10:1
(C) 16:1
(D) 20:1
(E) 40:1
15 Mar 2019, 06:57
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rohan2345
We can let the number of nickels = n; therefore, the number of dimes = 2n, and the number of quarters = 4n.
The value of the nickels, in cents, is 5n, and the value of the quarters, in cents, is 25 x 4n = 100n. Thus, the ratio of the total value of the quarters to the total value of the nickels is:
100n/(5n) = 20/1, or 20:1.
Alternate Solution:
We see that the number of quarters will be 4 times that of the nickels. Since the value of a quarter is 5 times of that of a nickel, the total value of the quarters will be 4 x 5 = 20 times of the total value of the nickels.
Answer: D
29 Nov 2024, 17:39
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Is it safe to assume that the GMAT will state the value of each coin or is it part of the difficulty of the question?
