SAT Math Multiple Choice Question 470: Answer and Explanation

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Question: 470

5.

The pie chart above shows the distribution of registered voters in a certain district in Illinois by party and by age. If there are 8,640 voters in the district, what is the ratio of Republicans to Independents?

  • A. 3:1
  • B. 7:2
  • C. 22:3
  • D. 23:6

Correct Answer: B

Explanation:

B

Difficulty: Medium

Category: Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

Strategic Advice: Sometimes, a question includes information that is not needed, making it appear more complicated than it really is. In this question, the number of actual voters in the district has nothing to do with the ratio that you're looking for.

Getting to the Answer: Because the figures in the pie chart are given as percentages, the ratio will be the same no matter how many voters there are in the district. All you need to do is compare Republicans to Independents. The question does not specify an age range, so add both together for each. The district consists of 14 + 28 = 42 parts Republican and 9 + 3 = 12 parts Independent, so the ratio is 42:12, which reduces to 7:2.

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