# Coins

The money - coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41: 9. How much copper and tin are in 2kg of bronze money?

Correct result:

m =  1.64 kg
c =  0.36 kg

#### Solution:

$\ \\ m=41/9 \cdot \ c \ \\ m+c=2 \ \\ \ \\ 41c-9m=0 \ \\ c+m=2 \ \\ \ \\ c=\dfrac{ 9 }{ 25 }=0.36 \ \\ m=\dfrac{ 41 }{ 25 }=1.64=\dfrac{ 41 }{ 25 }=1.64 \ \text{kg}$

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