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An alloy that is 50% silver is mixed with 500g of a 5% silver alloy. How much of the 50% alloy must be used to obtain an alloy that is 20% silver?

Question

An alloy that is 50% silver is mixed with 500g of a 5% silver alloy. How much of the 50% alloy must be used to obtain an alloy that is 20% silver?

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Step 1
Let x be the unknown quantity of 50% silver.  The silver concentrations 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)
Step 2

Solve for x to find the amoun...

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Math

Algebra

Equations and In-equations

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