SSAT Math Question 388: Answer and Explanation

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Question: 388

16. The average length of two female hamsters is 4.1 inches, and the average length of six male hamsters is 5.3 inches. What is the average length, in inches, of all eight hamsters?

  • A. 1.175
  • B. 2.93
  • C. 4.7
  • D. 5

Correct Answer: D

Explanation:

D

Let a and b represent the length of the two female hamsters, and set up the average equation: = 4.1. Multiply both sides by 2: a + b = 8.2. Next, let c, d, e, f, g, and h represent the length of the six male hamsters and set up the average equation: = 5.3. Multiply both sides by 6: c + d + e + f + g + h = 31.8. Now, set up the average equation for all six hamsters and substitute the values you have determined: = = = 5.

A good way to think of average is Total = Average × Number (TAN). Here, the number of female

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