SAT Math Multiple Choice Practice Question 567: Answer and Explanation

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Question: 567

3. If each number in the following sum were increased by t, the new sum would be 4.22. What is the value of t ?

A. 0.24
B. 0.29
C. 0.33
D. 0.37
E. 0.43

Correct Answer: D

Explanation:

D We can use PITA for this question. First use C, 0.33, for t. If we must add t to each of the four values, we will have 4t. 4 × 0.33 = 1.32. When 1.32 is added to the sum in the question of 2.74, the total is 4.06, which is less than the 4.22 we were looking for. Eliminate A, B, and C and try a larger number. In D, 0.37 × 4 = 1.48, and 1.48 + 2.74 = 4.22, just what we were looking for.

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