Fused together 6 grams of 60 percent and 8 grams of 80 percent gold. How much gold does the resulting alloy contain?

First, you need to determine the mass of gold in each of the two alloys.

To do this, multiply the specified weight of the alloy by the percentage of gold in it.

In the first alloy there will be:

6 * 60% / 100% = 6 * 0.6 = 3.6 grams of gold.

The second alloy will be:

8 * 80% / 100% = 8 * 0.8 = 6.4 grams of gold.

We find the total mass of the two alloys.

6 + 8 = 14 grams.

Determine the total weight of gold in the two alloys.

3.6 + 6.4 = 10 grams.

Find the percentage of gold in a given alloy.

10/14 * 100% = 1000/14 = 71.4285%.

Answer: 71.4285% gold.



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