Question

In two alloys aluminium and iron are in the ratio of 4:1 and 3:1 . After alloying together 10 kg of the first alloy , 16 kg of the second and several kilograms of pure aluminium and alloy was obtained in which the ratio of aluminium to iron was 3:2 . Find the weight of new alloy?

Answer 1

Answer:

not possible to have 3 :2 ratio

100/3  kg  ( assuming pure iron added)

Step-by-step explanation:

In two alloys aluminum and iron are in the ratio of 4:1 and 3:1

10 kg of the first alloy

=> Aluminum = (4/5) * 10 = 8 kg

& Iron = 2 kg

16 kg of the second alloy

=> aluminimu = (3/4) * 16 = 12 kg

& iron = 4 kg

Let say A kg pure aluminium added

then total aluminum = 8 + 12 + A = 20 + A  kg

Iron = 2 + 4 = 6 kg

20 + A :  6  :: 3/2

=> 40 + 2A = 18

=> 2A = -22

=> A = -11

Which is not  possible

so let assume question is A kg of iron is added then

20 : 6+A :: 3/2

=> 40 = 18 + 3A

=> 22 = 3A

=> iron is added = 22/3  kg

Total Weight = 10  + 16 + 22/3  = 100/3  kg