SOLUTION: How many ounces of pure gold must be added to five ounces of something that is 1 % gold in order that the mixture is 6% gold?

Question 189945: How many ounces of pure gold must be added to five ounces of something that is 1 % gold in order that the mixture is 6% gold?
Answer by cutepiscean5(19) (Show Source): You can put this solution on YOUR website!
Let the amount of pure gold to be added by x ounces,
and we know that the amount of something that is 1% gold is 5 ounces.
The total amount of the mixture would then be ounces
We know that pure gold is 100 % gold, and this x amount will be added to 5 ounces of 1 % gold to make the total amount of 6 % gold. So the resultant equation will be:
100 % (x) + 1 % (5) = 6 % (x+5)
using this equation we solve for x.
The above equation becomes:
Canceling the percent from the whole equation or multiplying the whole equation by 100 we get:
100x + 5 = 6(x+5)
=> 100x + 5 = 6x + 30 (using distributive law to open the brackets on the right hand side)
=> 100x - 6x = 30 - 5 (shifting the x-terms to the LHS and constant terms to the RHS.
=> 94x = 25
=> x = 25/94
or, x = 0.266 ounces
Thus, 0.266 ounces of pure gold must be added to five ounces of something that is 1 % gold in order that the mixture is 6% gold.

RELATED QUESTIONS
How many ounces of pure gold must be added to five ounces of something that is 1% gold in (answered by ankor@dixie-net.com,stanbon,ptaylor)

How many ounces of pure gold must be added to five ounces of something that is 1 percent... (answered by josmiceli)

How many ounces of pure gold must be added to five ounces of something that is 1% gold in (answered by Fombitz)

Question is not from the text. Could you please tell me how to set up the following... (answered by ankor@dixie-net.com)

Question is not from the text. Could you please tell me how to set up the following... (answered by ptaylor)

How many ounces of pure gold must be added to five ounces of something that is 1% gold in (answered by stanbon,edjones)

Can you please help me with this problem If it is not too much to ask can you please walk (answered by scott8148)

A goldsmith has two alloys that are different purities of gold. The first is... (answered by stanbon)