SAT Math Multiple Choice Question 464: Answer and Explanation

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Question: 464

14. A college cafeteria received a petition from students to offer healthier meat, vegetarian, and vegan dishes. In response to the petition, the cafeteria conducted an analysis of its existing menu to determine the current state of those options. The results are summarized in the table below. The analyst used a sliding scale based on the nutrient levels compared against calorie, sugar, and sodium counts to determine the health score, a score of 1 being the least healthy and 5 being the healthiest.

Health Score Meat Dishes Vegetarian Dishes Vegan Dishes
1 3 1 1
2 4 3 1
3 8 5 4
4 5 4 2
5 0 1 0

What fraction of the vegetarian and vegan dishes has a health score of 3 or higher?

  • A.
  • B.
  • C.
  • D.

Correct Answer: C

Explanation:

C

Difficulty: Easy

Category: Problem Solving and Data Analysis / Statistics and Probability

Strategic Advice: This question is all about reading the table carefully and identifying the pieces of information that you need.

Getting to the Answer: The question asks about vegetarian and vegan dishes, so you are only concerned with those two columns. Find the total number of vegetarian and vegan dishes: 1 + 3 + 5 + 4 + 1 + 1 + 1 + 4 + 2 + 0 = 22. The question wants to know which fraction of these dishes has a health score of 3 or higher, so now look at those 3 rows of the last 2 columns and add those amounts: 5 + 4 + 1 + 4 + 2 + 0 = 16. Now, write a fraction that represents 16 out of 22 and reduce:

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