Multiple choice

In a mixture of 80 gm the ratio of gold and brass is 5 : 3. How much more brass must added to it. So that quantity of brass would become 50%

  1. 20 gm

  2. 25 gm

  3. 18 gm

  4. 19 gm
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A Correct answer
Explanation

Current mixture: 80 gm with gold:brass = 5:3. So gold = (5/8)*80 = 50 gm, brass = (3/8)*80 = 30 gm. Let x gm brass be added. Then brass = 30+x, total = 80+x. For brass to be 50%: (30+x)/(80+x) = 1/2. Solving: 60+2x = 80+x, so x = 20 gm. Final mixture: 50 gm gold, 50 gm brass.

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