SAT Math Multiple Choice Question 814: Answer and Explanation

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Question: 814

4. Yasmine is a pharmaceutical sales representative. Her firm gives her a weekly allowanceof $300 to spend on lunches with physicians and their office staffs. A restaurantfrom which Yasmine often buys the lunches charges $7 for a cold dish and $11 for ahot dish, including drinks. If each meal is subject to a 5.75% sales tax, which ofthe following inequalities represents the number of cold dishes (c) and hot dishes (h) that Yasmine can purchase for sales-related lunches in one week, assuming she purchasesall the lunches from this restaurant?

  • A.
  • B.
  • C.
  • D.

Correct Answer: C

Explanation:

C

Difficulty: Easy

Category: Heart of Algebra / Inequalities

Strategic Advice: Numbers sprinkled throughout a wordy question tell you to use the Kaplan Strategy for Translating English into Math. Note that in this question, you're only asked for an inequality and not a simplified solution set.

Getting to the Answer: The variables c and h represent the number of cold and hot dishes purchased, which cost $7 and $11 each, respectively. Therefore, the amount spent on cold dishes is 7c, and the amount spent on hot dishes is 11h. Sales tax is 5.75%, so the total spent on sales-related lunches is. Yasmine has a weekly allowance of $300 for lunches, so she can spend that much or less, making the inequality, which is (C).

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