Question

An alloy contains zinc copper and tin in the ratio 2:3:1 and another contains copper tin and lead in the ratio 5:4:3. If equal weights of both alloys are melted together to form a third alloy then the weight of lead per kg in new alloy will be:

Answer 1

Answer:

Ratio of Zinc, Copper and Tin is given as,

Z : C : T = 2 : 3 : 1.

Now, let the first alloy be 12 kg (taken as 4 kg Zinc, 6 kg Copper and 2 Kg Lead). Weight of second alloy = 12 kg as, C : T : L = 5 : 4 : 3. (taken as 5 kg Copper, 4 kg Tin and 3 Kg Lead.)

Alloys are mixed together to form third alloy. Then the ratio of content in it,

Z : C : T : L = 4 : (6+5) : (2+4) : 3

Weight of third alloy = 12+12 = 24 Kg.

So, weight of the Lead = 3/24 = 1/8 kg.