SOLUTION: Copper has a density of 8.96grams per cubic centimeter, while tin has a density of 7.385 grams per cubic centimeter. Both are elements, so these values are pretty solid. The making

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Copper has a density of 8.96grams per cubic centimeter, while tin has a density of 7.385 grams per cubic centimeter. Both are elements, so these values are pretty solid. The making      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 909696: Copper has a density of 8.96grams per cubic centimeter, while tin has a density of 7.385 grams per cubic centimeter. Both are elements, so these values are pretty solid. The making of bronze, a mix of cooper and (historically) tin to make an alloy stronger than either, is one of the biggest developments in human history.
1. Lets say you wanted to make a brick of bronze that was exactly 200 cubic centimeters, and has a mass of exactly 1,755 grams. Let c= the number of cubic centimeters of copper, and t= the number of cubic centimeters of tin. Use no other metals. Find equations of two lines that hold this information. Find the values of c and t that make your above equations true. It is okay to have a fraction of a cubic centimeter.
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
%281755%2F200%29%28gram%2Fcc%29=8.775 grams/cc, the required target density of the bronze brick.

highlight_green%28c%2A8.96%2Bt%2A7.385=1755%29, grams as specified
and
highlight_green%28c%2Bt=200%29, cubic centimeters as specified


SOLVING STEPS
t=200-c;
;
8.96c%2B7.385%28200-c%29=1755
8.96c%2B1477-7.385c=1755
%288.96-7.385%29c=1755-1477
1.575c=278
c=278%2F1.575
highlight_green%28c=176.5%29
-
t=200-c
t=200-176.5
highlight_green%28t=23.49%29

The density of the copper, and the volume of brick to make limit the accuracy to three significant figures, so the final results are:
highlight%28c=177%29 cc for the copper
highlight%28t=23%29 cc for the tin