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PSAT Math Multiple-Choice Practice Question 821

Question: 821

The following questions refer to the information in the table below. A company has four different stores at four different locations throughout a large city. The company gathered data on the initial prices, sale prices, and respective quantities sold of a particular item. 
StorePrice Before SaleQuantity Sold Before SaleSale Price Quantity Sold During Sale
Store A$12.50350$11.00400
Store B$13.25260$10.00520
Store C$11.75550$9.50625
Store D$14.00220$10.25460

Look at how many of the particular item Stores A and B sold at the presale price. What is the arithmetic mean of this set of values to the nearest tenth?

Correct Answer: D

Explanation:

(D) The arithmetic mean is the average. Solve this problem using a weighted average. In other words, calculate the average by factoring in the relative amounts sold of the item by each store.

StorePrice Before SaleQuantity Sold Before SaleSale Price Quantity Sold After Sale
Store A$12.50350$11.00400
Store B$13.25260$10.00520
Store C$11.75550$9.50625
Store D$14.00220$10.25460

Store A sold 350 items for $12.50 each, and Store B sold 260 items for $13.25 each. The total number of items sold is 350 + 260. You can compute the average as follows:

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