SAT Math Multiple Choice Practice Question 597: Answer and Explanation

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Question: 597

11. Juanita bought five items at the store. The prices of the first four items were $6, $11, $14, and $19. All five items were taxed at a rate of 5%, and the total cost of all five items, including tax, was $63. What was the price of the fifth item?

A. $3
B. $5
C. $6
D. $8
E. $10

Correct Answer: E

Explanation:

E The numbers in the answer choices mean this is a great PITA question: We can try out the numbers in the answers as the price of Juanita's fifth item. First break the wordy question into bite-sized pieces—there is a lot of information to sort through. The cost of the four known items is 6 + 11 + 14 + 19 = $50. We want to find the price that, when added to $50 and then multiplied by 1.05 (for the total cost and 5% tax), should result in $63. Start with C. $6 + $50 = $56; $56 × 1.05 = $58.80—too small, so eliminate A, B, and C. Now try D: $8 + $50 = $58; $58 × 1.05 = $60.90—too small, so eliminate D. Only E is left: $10 + $50 = $60; $60 × 1.05 = $63.00.

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