Thursday, May 15, 2008

Unit Price: AA Alkaline Cells

The unit price is the price for one item. You find it by division and, perhaps, rounding.

Seward uses quantities of AA "batteries" to power graphing calculators. Strictly speaking, a single AA "battery" is a cell, 4 of them together form a battery. Today, at Home Depot, Energizer brand AA cells are for sale at the following prices:

36 cells for $12.89
20 cells for $10.47
10 cells for $6.87
6 cells for $4.77

Assuming you can use all the cells you buy, what is the price per cell, the unit price, for each package? Round results to the nearest cent.

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A note on standard tests. Standard tests often present a set of prices like the cell prices, and ask: "What is the lowest price per unit?" Often, but not always, the largest quantity has the lowest unit price. You should calculate all the unit prices, then pick the lowest one. Guessing is not a good idea. It isn't obvious, but the typical unit price problem requires four divisions, not much work if you have a calculator.

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Answers: 36 pack, XXXVI cents per cell, 20 pack, LII cents per cell, 10 pack, LXIX cents per cell, 6 pack, LXXX cents per cell.

L= 50, X = 10, V = 5.

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