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A jewelry craftsman needs 100 grams of gold alloy, of 75 % pure gold for his products. Only two alloys of gold are available from a supplier. The first is 80 % pure gold and the other is 60% pure gold. How many grams of 80% gold alloy must he use to suit his requirement?
 Others 20 % 40% 25% Gold 80 % 60% 75% -- x 100-x 100

$$0.80(x) = 0.6 (100-x) = 100 (0.75)$$

$$x = 75 \text{grams}$$