The equation that can be used to find x, the amount of the 60% mixture used to create the 65% mixture is:
0.60*x + 0.80*(100 - x) = 0.65*(100).
<h3>Which equation we should use?</h3>
First, let's define two variables:
- x = pounds of the 60% copper brass.
- y = pounds of the 80% copper brass.
We know that we want to make 100 lb of 65% copper brass, then we must have that:
x + y = 100
And the percentage of copper before and after mixing must be the same, so we can write:
0.60*x + 0.80*y = 0.65*(x + y).
(where the percentages are written in decimal form).
Then we have a system of equations:
x + y = 100
0.60*x + 0.80*y = 0.65*(x + y).
To get a single equation, we can isolate the variable "y" on the first equation:
y = 100 - x
Now we replace that in the other equation:
0.60*x + 0.80*(100 - x) = 0.65*(100).
This is what we wanted to get, an equation that can be used to find x, the amount of the 60% mixture used to create the 65% mixture.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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