Problema Solution

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.

Answer provided by our tutors

x(.16) + (32-x).28 = (32).25

.16x + 8.96 - .28x = 8

-.12x = -.96

x = 8 

8oz (16%) + 24oz (28%) = 32oz(25%)