Question

A blacksmith blends one alloy of silver that is 35% silver and another that is 95% silver. To the nearest ton, how much of the alloy that is 35% silver is needed to make 139 tons of a 70% silver alloy? ​

Answer 1

Let x be the unknown quantity of 50% silver.

Look at the silver concentrations... This will be 0.5x of actual silver,

Added to 5% silver in 500g or 0.05(500)g of actual silver

Totaling to (500+x)g of 20% silver which will have 0.2(500+x)g of silver

Your equation is:

0.5x + 0.05(500) = 0.2(500+x)

Solve for x to find the grams of 50% silver used

Explanation:

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