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Two candidates, Salvador and Tammy, split the 1,000 votes cast in the
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18 Jan 2023, 09:37
18 Jan 2023, 09:37
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Question Stats:
77% (00:42) correct
22% (01:11) wrong based on 9 sessions
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Two candidates, Salvador and Tammy, split the 1,000 votes cast in the election for Student Council President. Which of the following statements, taken individually, are sufficient to determine the number of votes cast for Salvador?
Indicate all that apply
A. The ratio of Salvador's votes to Tammy's votes was 3 : 2.
B. Tammy received 40 % of the votes.
C. The average of Salvador's votes and Tammy's votes was 500.
D. Salvador received 200 more votes than Tammy.
Indicate all that apply
A. The ratio of Salvador's votes to Tammy's votes was 3 : 2.
B. Tammy received 40 % of the votes.
C. The average of Salvador's votes and Tammy's votes was 500.
D. Salvador received 200 more votes than Tammy.
Re: Two candidates, Salvador and Tammy, split the 1,000 votes cast in the
[#permalink]
20 Jan 2023, 05:00
20 Jan 2023, 05:00
Expert Reply
OE
Let S stand for the number of votes cast for Salvador. Because the total number of votes was 1,000, the number of votes cast for Tammy must equal 1,000 - S. (Note that you could have defined a second variable T to stand for Tammy's votes, but it is good practice in general to reduce the number of unknowns. Since the problem asks you to determine the number of votes cast for Salvador, you have chosen S as the primary variable and expressed Tammy's votes in terms of S.) In order to be correct, each answer choice must allow you to solve for S.
Choice (A) states that S/1000-S=3/2 S can be solved by cross-multiplying. This is a Choice (B) allows you to solve for S by observing that 1.000-S=4/100*1000=400. This is a correct answer.
Choice (C) tells you nothing new, because the number of total votes is fixed at 1,000. Therefore, the average of Salvador's votes and Tammy's votes, which is the sum of their votes divided by 2, has to equal 500. This is an incorrect answer.
Finally, choice (D) tells you that S - (1,000 - S) = 200, which is an equation that you can use to solve for S. This is a correct answer.
Let S stand for the number of votes cast for Salvador. Because the total number of votes was 1,000, the number of votes cast for Tammy must equal 1,000 - S. (Note that you could have defined a second variable T to stand for Tammy's votes, but it is good practice in general to reduce the number of unknowns. Since the problem asks you to determine the number of votes cast for Salvador, you have chosen S as the primary variable and expressed Tammy's votes in terms of S.) In order to be correct, each answer choice must allow you to solve for S.
Choice (A) states that S/1000-S=3/2 S can be solved by cross-multiplying. This is a Choice (B) allows you to solve for S by observing that 1.000-S=4/100*1000=400. This is a correct answer.
Choice (C) tells you nothing new, because the number of total votes is fixed at 1,000. Therefore, the average of Salvador's votes and Tammy's votes, which is the sum of their votes divided by 2, has to equal 500. This is an incorrect answer.
Finally, choice (D) tells you that S - (1,000 - S) = 200, which is an equation that you can use to solve for S. This is a correct answer.
gmatclubot
Re: Two candidates, Salvador and Tammy, split the 1,000 votes cast in the [#permalink]
20 Jan 2023, 05:00
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