Problema Solution
A metallurgist has an alloy with 5% titanium and an alloy with 20% titanium. He needs 100 grams of an alloy with 11% titanium. How much of each alloy should be mixed to attain the 100 grams of alloy with 11% titanium?
Answer provided by our tutors
Let
x = amount of an alloy with 5% titanium
y = amount of an alloy with 20% titanium
x + y = 100
0.05x + 0.20y = 0.11*100
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x = 60 g
y = 40 g
60 grams of alloy with 5% titanium and 40 grams of alloy with 5% titanium should be mixed.