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
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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
