SSAT Math Question 329: Answer and Explanation
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Question: 329
8. The average weight of two French Bulldogs is 17.5 pounds and the average weight of four English Bulldogs is 62.5 pounds. What is the average weight, in pounds, of all six dogs?
- A. 40
- B. 47.5
- C. 50
- D. 57.5
Correct Answer: B
Explanation:
The answer is B
Let a and b represent the weight of the two French Bulldogs, and set up the average equation: = 17.5. Multiply both sides by 2: a + b = 35. Next, let c, d, e, and f represent the weight of the four English Bulldogs, and set up the average equation:
= 62.5. Multiply both sides by 4: c + d + e + f = 250. Now, set up the average equation for all six dogs and substitute the values you have determined:
= 47.5.
A good way to think of average is Total = Average × Number (TAN). Here, the number of French Bulldogs is 2, and the average is 17.5. Thus, the total weight of the dogs is 17.5 × 2 = 35. Likewise,