# Word Problem - systems of linear equations

• Sep 11th 2011, 11:16 PM
schwanstabilo
Word Problem - systems of linear equations
A jeweler needs to mix an alloy with a 16% gold content and an alloy with a 28% gold content to obtain 32 ounces of a new alloy with a 25% gold content. How many ounces of each of the original alloys must be used?
• Sep 12th 2011, 02:54 AM
TKHunny
Re: Word Problem - systems of linear equations
Equate Stuff!

How much Gold originally + How much gold added = how much gold in the end

or

How much nonGold originally + How much nongold added = how much nongold in the end
• Sep 12th 2011, 02:59 AM
HallsofIvy
Re: Word Problem - systems of linear equations
Before "equating stuff", "name stuff": let X be the amount of alloy with 16% gold content, in ounces, and let Y be the amountof alloy with 28% gold content, in ounces.
• Sep 12th 2011, 03:22 AM
schwanstabilo
Re: Word Problem - systems of linear equations
figured it out, I was just having problems setting up a part of the 2nd equation.
x = 16%
y = 28%

x + y = 32
0.16x + 0.28y = 32(0.25)

Multiplying 32 by 0.25 was what I overlooked
• Sep 12th 2011, 01:48 PM
TKHunny
Re: Word Problem - systems of linear equations
That was the names and the stuff!