In an alloy, zinc and copper are in the ratio
of 1:2. In the second alloy, the same
elements are in the ratio of 2:3. In what ratio
should these two alloys be mixed to form a
new alloy in which the two elements are in
the ratio of 5:8?
Answers
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7
Answer:
3 : 10
Step-by-step explanation:
In an alloy, zinc and copper are in the ratio
of 1:2. In the second alloy, the same
elements are in the ratio of 2:3. In what ratio
should these two alloys be mixed to form a
new alloy in which the two elements are in
the ratio of 5:8?
Let say 1st alloy = 3A & 2nd Alloy = 5B
Zinc = 1A & Copper = 2A
Zinc = 2B & Copper = 3B
Total Zinc = A + 2B
Total Copper = 2A + 3B
(A + 2B)/(2A + 3B) = 5/8
=> 8A + 16B = 10A + 15B
=> B = 2A
1st alloy = 3A 2nd Alloy = 5B = 5*2A = 10A
1st Alloy : 2ndAlloy = 3 : 10
two alloys be mixed in 3 : 10 to form a new alloy in which the two elements are in the ratio of 5:8
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