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Mathematics - Algebra - Simultaneous Equations

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A sample which is 20% Vendium, 50% Rulium and 30% Gendium weighs 8.8 grams/cc.
A sample which is 60% Vendium, 20% Rulium and 20% Gendium weighs 9.8 grams/cc.
A sample which is 30% Vendium, 30% Rulium and 40% Gendium weighs 8.8 grams/cc.
What is the weight of pure Vendium, in gms/cc

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Solution Summary

The expert examines a simultaneous equations. Complete, neat and step-by-step solution is provided.

Solution Preview

Let us take x, y, z be the densities of the three components Vendium, Rulium and Gendium

respectively.

Then, by data, we have, ...

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