GMAT Word Problems Explained — A grocer has 400 pounds of coffee in stock, 20 percent of

A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer's stock of coffee is decaffeinated?

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Explanation	Calculations	Help
$We translate "20 percent" and "of 400" into an equation to find the decaffeinated weight in the initial stock.$	$D_{1} = \frac{20}{100} \times 400 = 80$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We translate "60 percent" and "of 100" into an equation to find the decaffeinated weight in the additional purchase.$	$D_{2} = \frac{60}{100} \times 100 = 60$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We add the two decaffeinated weights.$	$D = D_{1} + D_{2} = 80 + 60 = 140$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We add the initial and additional coffee weights.$	$T = 400 + 100 = 500$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We divide the total decaffeinated weight by the total weight and multiply by 100 to find the percent decaffeinated.$	$P = \frac{D}{T} \times 100 = \frac{140}{500} \times 100 = 28%$

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28%