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Mixture
Q. A chemist has two alloys of gold and copper. The first alloy contains 40% gold and the second alloy contains 60% gold. How many grams of each alloy should the chemist combine to create a new alloy that contains 50% gold?
A) 20 and 20
B) 25 and 25
Let’s say we use x grams of the first alloy and y grams of the second alloy. Then we can set up two equations based on the amount of gold and the total weight of the new alloy:0.4x + 0.6y = 0.5(x + y), x + y = 50. Solving for x and y, we get:x = y = 25.Therefore, we need to use 25 grams of each alloy to create a new alloy that contains 50% gold.
C) 30 and 30
D) 35 and 35
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