# Bronze medal

To produce 1 kg of bronze must be 0.95 kg copper, 0.04 kg of tin, 0.01 kg zinc. The bronze medal has a weight of 8.5 g. How much copper, tin and zinc does medal have?

Result

Cu =  8.075 g
Sn =  0.34 g
Zn =  0.085 g

#### Solution:

$k = 8.5 / 1 = \dfrac{ 17 }{ 2 } = 8.5 \ \\ Cu = 0.95 \cdot \ k = 0.95 \cdot \ 8.5 = \dfrac{ 323 }{ 40 } = 8.075 = 8.075 \ \text{ g }$
$Sn = 0.04 \cdot \ k = 0.04 \cdot \ 8.5 = \dfrac{ 17 }{ 50 } = 0.34 = 0.34 \ \text{ g }$
$Zn = 0.01 \cdot \ k = 0.01 \cdot \ 8.5 = \dfrac{ 17 }{ 200 } = 0.085 = 0.085 \ \text{ g }$

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