SOLUTION: Nelson wants to use a few pieces of silver to make a bracelet. Some of the jewelry is 70% silver, and the rest is 58% silver. Nelson needs 26.00g of 65% silver. How much of each al

Algebra ->  Expressions-with-variables -> SOLUTION: Nelson wants to use a few pieces of silver to make a bracelet. Some of the jewelry is 70% silver, and the rest is 58% silver. Nelson needs 26.00g of 65% silver. How much of each al      Log On


   

Question 620242: Nelson wants to use a few pieces of silver to make a bracelet. Some of the jewelry is 70% silver, and the rest is 58% silver. Nelson needs 26.00g of 65% silver. How much of each alloy should he use?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
elson wants to use a few pieces of silver to make a bracelet.
Some of the jewelry is 70% silver, and the rest is 58% silver.
Nelson needs 26.00g of 65% silver. How much of each alloy should he use?
;
Let x = amt of 70% silver
the total amt is to be 26 gr, therefore:
(26-x) amt of 58% silver
:
A typical mixture equation
:
.70x + .58(26-x) = .65(26)
.70x + 15.08 - .58x = 16.9
.70x - .58x = 16.9 - 15.08
.12x = 1.82
x = 1.82/.12
x = 151%2F6 gr of 70% silver
and
26 - 151%2F6 = 105%2F6 gr of 58% silver