SOLUTION: A silversmith combined pure silver which cost $8.50 an ounce with 100 oz of a silver alloy which cost $4.00 an ounce. how many ounces of pure silver were used to make an alloy of s
Algebra.Com
Question 929697: A silversmith combined pure silver which cost $8.50 an ounce with 100 oz of a silver alloy which cost $4.00 an ounce. how many ounces of pure silver were used to make an alloy of silver selling for $6.00 an ounce?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A silversmith combined pure silver which cost $8.50 an ounce with 100 oz of a silver alloy which cost $4.00 an ounce.
how many ounces of pure silver were used to make an alloy of silver selling for $6.00 an ounce?
:
Let x = amt of pure silver required
The final amt is to be 100 oz, therefore:
(100-x) = amt of alloy
:
A typical mixture equation
8.5x + 4(100-x) = 6(100)
8.5x + 400 -4x = 600
8.5x - 4x = 600 - 400
4.5x = 200
x = 200/4.5
x = 44.44 oz of pure silver required
:
;
See if that checks out. alloy amt = 100 - 44.44 = 55.56 oz
8.5(44.44) + 4(56.56) = 6(100)
377.74 + 222.24 = 599.98 ~ 600
RELATED QUESTIONS
A silversmith combined pure silver that cost $16.30 per ounce with 50 oz of a silver... (answered by richwmiller)
A silversmith combined pure silver that cost $16.60 per ounce with 50 oz of a silver... (answered by josgarithmetic)
A silversmith combined pure silver that cost $17.80 per ounce with 50 oz of silver alloy... (answered by josmiceli)
A silversmith combined pure silver that cost $15.40 per ounce with 60 oz of a silver... (answered by richwmiller)
I need to know how to set this problem up....
A silversmith combined pure silver that... (answered by ankor@dixie-net.com)
A silversmith combined pure silver that cost $17.60 per ounce with 110 oz of a silver... (answered by mananth)
how many ounces of pure silver that cost $8.50 an ounce must be mixed with 100 oz of a... (answered by josgarithmetic)
A goldsmith combined pure gold that cost $ 1475 per ounce with an alloy of gold that cost (answered by josgarithmetic)
A goldsmith combined pure gold that cost $400 per ounce with an alloy of gold that costs... (answered by rfer)