Since it is said the 1g of mineral contains 28% of gold which is equivalent to .28g of gold. Thus, .28 gram of Gold = 100 grams of Minerals
 => 1g of Gold = 100/28 grams of Minerals
 => 34grams of gold = 100/28 * 34 g of Minerals
 => 34 grams of gold = 952 grams of Minerals 
Therefore, it needs 952 grams of Sylvanite minerals in order to have 34 grams of Gold.