# SAT Math Multiple Choice Question 840: Answer and Explanation

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**Question: 840**

**15.** An all-natural health clinic stocks teas and herbs in a 5:11 ratio at one of its warehouses.In an effort to cut overhead costs, the owners close this warehouse and transfer itsstock to a larger warehouse, increasing that warehouse's inventory of items by 20%.Which of the following could be the number of items at the larger warehouse afterthe transfer?

- A. 198
- B. 386
- C. 480
- D. 573

**Correct Answer:** C

**Explanation:**

**C**

**Difficulty:** Hard

**Category:** Problem Solving and Data Analysis / Rates, Ratios, Proportions, and Percentages

**Strategic Advice:** When given a ratio, you can always add an *x* to each term. For example, if the ratio of boys to girls is 2:3, then you know that there are 2*x* boys, 3*x* girls, and 5*x* boys and girls in total.

**Getting to the Answer:** The ratio of teas to herbs is 5:11, which means that the total number of teas and herbs is. Because this represents a 20% increase in the larger warehouse's stock, it follows that 16*x* is 20%, or, of the large warehouse's initial stock:. The final stock in the warehouse is therefore. This means that the answer must be a multiple of 96, or in other words, evenly divisible by 96. Use your calculator to quickly test each answer choice: Of the numbers given, 480 is the only one that is evenly divisible by 96, making (C) the correct answer.