Gold

Algebra Level 1

A 20 20 gram alloy containing 35 % 35\% gold is to be melted with a 40 40 gram alloy containing 65 % 65\% gold. How much percentage of gold is the resulting alloy?

45% 50% 40% 60% 55%

A Former Brilliant Member by A Former Brilliant Member

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1 solution

0.35 ( 20 ) + 0.65 ( 40 ) = x ( 60 ) 0.35(20)+0.65(40)=x(60)

7 + 26 = 60 x 7+26=60x

33 = 60 x 33=60x

x = 33 60 = 0.55 x=\dfrac{33}{60}=0.55

Finally,

x % = 0.55 + 100 % = x\%=0.55+100\%= 55 % \boxed{55\%}

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