There was an explosion in Dr. Singlemug\'s laboratory in which some valuable dat

Question

There was an explosion in Dr. Singlemug's laboratory in which some valuable data was lost along with Dr. Singlemug. Surviving records showed that he had been experimenting with mixes of 4 new substances, Dumbium, Sillium, Deludium and Ignorium in the process of producing a new fuel. Here's what was left of the data. A mix of 4 cc of Dumbium, 3 cc of Sillium, 5 cc of Deludium and no Ignorium weighed 29.6 gms. A mix of 3 cc of Dumbium, no cc of Sillium, 4 cc of Deludium and 5 cc of Ignorium weighed 36.2 gms. A mix of 5 cc of Dumbium, 5 cc of Sillium, no Deludium and 3 cc of Ignorium weighed 46.6 gms. Finally, A mix of no Dumbium, 4 cc of Sillium, 3 cc of Deludium and 4 cc of Ignorium weighed 41.2 gms. Given all this what was the weight of pure Dumbium per cc, correct to the nearest tenth of a gm/cc? a) 1.6 gms/cc b) 2.1 gms/cc c) 2.3 gms/cc d) 4.4 gms/cc e) 4.7 gms/cc f) 5.3 gms/cc g) none of these

Explanation / Answer

b) 2.1 gms/cc

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