ISEE Mathematics Achievement Question 286: Answer and Explanation

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Question: 286

1. At Jed's Country Hotel, there are three types of rooms: singles, doubles, and triples. If the ratio of singles to doubles to triples is 3:4:5, and the total number of rooms is 36, how many doubles are there?

  • A. 4
  • B. 9
  • C. 12
  • D. 24

Correct Answer: C

Explanation:

C When the question asks about ratios, make a Ratio Box. The ratio of single rooms to doubles to triples is 3:4:5, so label the boxes and place this ratio in the top row. Add 3 + 4 + 5 to find the total for the room types is 12. Put 12 in the total column for the ratio row. The question states that there are 36 total rooms in the hotel, so this number goes in the total column for the actual number row. 12 times what equals 36? Since 12 × 3 = 36, the multiplier is 3. Find the number of doubles by multiplying: 4 × 3 = 12. The correct answer is (C).

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