SOLUTION: British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepa
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Question 122009This question is from textbook algebra and trigonometry with analiytic geometry
: British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 244 grams of a copper-silver alloy that is 13% copper by weight?
Please round the answers to the nearest tenth.
British sterling silver: g
pure copper: g This question is from textbook algebra and trigonometry with analiytic geometry
You can put this solution on YOUR website! British sterling silver is a copper-silver alloy that is 7.5% copper by weight. How many grams of pure copper and how many grams of British sterling silver should be used to prepare 244 grams of a copper-silver alloy that is 13% copper by weight?
:
Please round the answers to the nearest tenth.
British sterling silver: g
pure copper: g:
:
Let x = no. of grams of British sterling silver (which is 7.5% copper) required
Then
(244-x) = no. of grams of pure copper required to make 13% alloy
:
Write an equation based on the % copper
:
.075x + 1.0(244-x) = .13(244)
:
.075x + 244 - 1x = 31.72
.075x - 1x = 31.72 - 244
-.925x = -212.28
x =
x = 229.5 grams Br Sterling Silver
Then
244 - 229.5 = 14.5 grams of pure copper
:
:
Check solution based on the copper per cent
.075(229.5) + 14.5 = .13(244)
17.2125 + 14.5 = 31.72
31.7125 ~ 31.72
:
Could you follow this OK? Any questions?
