SAT Math Multiple Choice Question 421: Answer and Explanation

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Question: 421

1.

A company's market share is the percent of consumers who utilize the services or buy the products of that company. The pie chart above shows the different market shares of cable providers in a certain region. If the ratio of the market shares of Provider 1 to Provider 2 is 3:2, what is Provider 1's market share?

  • A. 24%
  • B. 30%
  • C. 36%
  • D. 42%

Correct Answer: C

Explanation:

C

Difficulty: Easy

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

Strategic Advice: Break the question into steps. Before you can use the ratio, you need to find the percent of the market that utilizes Provider 1 and Provider 2.

Getting to the Answer: The ratio given in the question is 3:2, so write this as 3 parts (Provider 1) and 2 parts (Provider 2). You don't know how big a part is, so call it x. This means that 3x + 2x = the percent of consumers that utilize Provider 1 and Provider 2 for cable services, which is 100% – all the other providers: 100 – (18 + 15 + 7) = 100 – 40 = 60.

Each part has a value of 12 and three parts use Provider 1, so Provider 1's market share is 3 × 12 = 36%.

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