SAT Math Multiple Choice Question 832: Answer and Explanation

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Question: 832

7.

The bar graphs show the amounts, in dollars, invested by a company for materials andlabor to produce a certain product and the value of the sales for that product. Thecompany claims that the amount invested for materials and labor is never more than60% of the value of the sales. Which year or years disprove this claim?

  • A. 2010
  • B. 2012
  • C. 2014
  • D. 2012 and 2014

Correct Answer: B

Explanation:

B

Difficulty: Medium

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

Strategic Advice: When lots of information is presented in a graphic, make sure you look at the answer choices before you start calculating. Chances are that you'll only need to use a small part of the data.

Getting to the Answer: Manipulate the three-part percent formula, Percent × whole = part, to read Percent = part ÷ whole (or here, Percent = amount invested ÷ sales), and check each year given in the answer choices. To disprove the claim, you're looking for the year or years in which the percent is greater than 60% (greater than 0.6).

, so eliminate A.

. Don't choose (B) yet because 2012 is also in D.

, so eliminate C and D.

This means (B) is correct.

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