Question
In: Math
Mixing Math problem
Sterling Silver is 92.5% pure silver. How many grams of Sterling Silver must be mixed to a 90% Silver alloy to obtain a 500g of a 91% Silver alloy?
Solutions
Expert Solution
Let x and y be the weights, in grams, of sterling silver and of the 90% alloy to make the 500 grams at 91%. Hence
x + y =500
The number of grams of pure silver in x plus the number of grams of pure silver in y is equal to the number of grams of pure silver in the 500 grams. The pure silver is given in percentage forms. Hence
92.5% x + 90% y = 91% 500
Substitute y by 500 - x in the last equation to write
92.5% x + 90% (500 - x) = 91% 500
Simplify and solve
92.5 x + 45000 - 90 x = 45500
x = 200 grams.
200 grams of Sterling Silver is needed to make the 91% alloy.
Answer is 200 gram
Nipun Maity answered 2 years agoRelated Solutions
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X1
SAT-Math X2
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1
72
462
71
2
96
545
92
3
68
585
72
4
86
580
82
5
70
592
74
6
73
516
71
7
91
638
100
8
75
615
87
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76
596
81
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Find the approximate 95% confidence interval for the mean...
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Math-proficiency
X1
SAT-Math X2
Calculus final (college 1st year) Y
1
72
462
71
2
96
545
92
3
68
585
72
4
86
580
82
5
70
592
74
6
73
516
71
7
91
638
100
8
75
615
87
9
76
596
81
The least-square equation is Y=-26.6+0.777X1+0.082
X2, that is :
Calculus final=-26.6+0.777 *math-proficiency +0.082*
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