SAT Math Multiple Choice Question 527: Answer and Explanation

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Question: 527

2. Most people save money before going on vacation. Suppose Etienne saved $800 to spend during vacation, 20 percent of which he uses to pay for gas. If he budgets 25 percent of the remaining money for food, allots $300 for the hotel, and spends the rest of the money on entertainment, what percentage of the original $800 did he spend on entertainment?

  • A. 14.5%
  • B. 17.5%
  • C. 22.5%
  • D. 28.5%

Correct Answer: C

Explanation:

C

Difficulty: Medium

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

Strategic Advice: When you see a complex percent question on Test Day, stay calm and work toward the solution one step at a time.

Getting to the Answer: Etienne starts with $800. He spends 20% of $800, or 0.2($800) = $160, on gas. He has $800 – $160 = $640 left over. He budgets 25% of $640, or 0.25($640) = $160, for food and allots $300 for the hotel. Because he spends all the remaining money on entertainment, he spends $640 – $160 – $300 = $180 on entertainment. Divide this amount by the original amount to find the percent he spent on entertainment:

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