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?

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- Sep 12th 2011, 12:16 AMschwanstabiloWord 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, 03:54 AMTKHunnyRe: 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, 03:59 AMHallsofIvyRe: 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, 04:22 AMschwanstabiloRe: 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, 02:48 PMTKHunnyRe: Word Problem - systems of linear equations
That was the names and the stuff!