SOLUTION: Bronze- A pound of tin is worth $1 more than a pound of copper. Four pounds of tin are mixed with six pounds to make bronze that sells for $3.65 per pound. How much is a pound of t

Algebra ->  Proportions  -> Lessons -> SOLUTION: Bronze- A pound of tin is worth $1 more than a pound of copper. Four pounds of tin are mixed with six pounds to make bronze that sells for $3.65 per pound. How much is a pound of t      Log On


   

Question 159669This question is from textbook
: Bronze- A pound of tin is worth $1 more than a pound of copper. Four pounds of tin are mixed with six pounds to make bronze that sells for $3.65 per pound. How much is a pound of tin worth? This question is from textbook

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Cost of Copper=Fe=x($/lb)
Cost of Tin=Tn=x+1($/lb), cost $1 more than a pound of Fe
Cost of Bronze=$3.65/lb
Mass used for Bronze =Br%5Bmass%5D
1st condition:
4%28x%2B1%29%2B6%28x%29=3.65%28Br%5Bmass%5D%29 ---------> working eqn
But, Br%5Bmass%5D=Tin%5Bmass%5D%2BFe%5Bmass%5D=4%2B6=10lbs, subst. in working eqn
4x%2B4%2B6x=3.65%2A10
10x=36.5-4=32.5
10x=32.5 ----> cross%2810%29x%2Fcross%2810%29=cross%2832.5%293.25%2Fcross%2810%29
x=3.25%2Flb --------------------------> Cost of Fe per pound
So for Tin:
Tn=1%2B3.25=4.25%2Flb ------------------> Cost of Tn per pound
In doubt? Go back working eqn:
4%2A4.25%2B6%2A3.25=36.5%2A10
17%2B19.5=36.50
36.50=36.50
Thank you,
Jojo