In two alloys copper and zink are related in the ratio of 4:1 and 1:3. 10 kg of 1st alloy, 16 kg of 2nd alloy and some of pure copper are melted together. an alloy was obtained in which the ratio of copper to zinc was 3:2. find the weight of the new alloy
Answers
from 2nd alloy=copper_4kg,zinc_12kg
total weight=(26+x) kg
2
--- ×(26+x) = 14
5
52+2x=70
2x=18
x=9kg
total weight=26+9= 35kg
weight of the new alloy = 35 kg
Step-by-step explanation:
two alloys copper and zink are related in the ratio of 4:1 and 1:3
10 kg of 1st alloy
Copper = (4/5) * 10 = 8 kg
Zinc = (1/5) * 10 = 2 kg
16 kg of 2nd alloy
Copper = (1/4) * 16 = 4 kg
Zinc = (3/4) * 16 = 12 kg
Let say Weight added of Copper = C kg
Then total copper = 8 + 4 + c = 12 + C kg
Total Zinc = 2 + 12 = 14 kg
ratio of copper to zinc was 3:2
=> (12 + C)/14 = 3/2
=> 12 +C = 21
=> C = 9
pure copper added = 9 kg
Total Weight = 10 + 16 + 9 = 35 kg
weight of the new alloy = 35 kg
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