SOLUTION: A piece of metal is described as follows; 1/3 plus 24 oz. is brass. 3/4 minus 42 oz. is copper. Determine weight of metal piece. Not sure how to solve.

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Question 1205359: A piece of metal is described as follows;
1/3 plus 24 oz. is brass.
3/4 minus 42 oz. is copper.
Determine weight of metal piece.
Not sure how to solve.

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Looking for improvements for the description, say the amount of the piece of metal is p ounces.

1/3 plus 24 oz. is brass.
%281%2F3%29p%2B24 ounces of brass
p%2F3%2B24 ounces of brass

3/4 minus 42 oz. is copper.
3p%2F4-42 ounces of copper


Again recall, p is assigned as the amount of the piece of metal. In ounces.
p%2F3%2B24%2B3p%2F4-42=p--------does this make sense? Quantity of the brass plus quantity of the copper is the amount quantity of the piece of metal.

The algebra steps to solve for p.
%28p%2F3%2B3p%2F4%29%2B24-42=p
4p%2F12%2B9p%2F12-p=42-24
%284%2F12%2B9%2F12-12%2F12%29p=18
p%2F12=18
p=12%2A18
highlight%28p=216%29ounces