SSAT Math Question 609: Answer and Explanation
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Question: 609
3. Matt's Oak Superstore has exactly three times as many large oak desks as small oak desks in its inventory. If the store sells only these two types of desks, which could be the total number of desks in stock?
- A. 10
- B. 13
- C. 16
- D. 18
Correct Answer: C
Explanation:
The question states that the superstore has exactly three times as many large oak desks as small oak desks, so the ratio of large desks to small desks is 3:1. Write this information into the ratio row, and add the two numbers together to get the total for the ratio row: 3 + 1 = 4. So 4 goes into the total column for the ratio row. The actual total is not given; however, that number will have to be a multiple of 4 since 4 times the multiplier will equal the total actual number. Since the question asks for the total number of desks, look at the choices. You can eliminate (A), (B), (D), and (E) because these numbers are not multiples of 4. Only 16 is a possible actual total because the multipliers must be integers. You can check to see that 16 works by plugging it into the ratio box. Remember, the desks must be integers since the store isn't selling partial desks!
