We need to determine the amount of copper in the alloy using the given ratio. Let's represent the amount of copper as $x$.
Since the ratio of copper to nickel is $9:2$, the ratio of copper to zinc is also $9:2$. Therefore, the ratio of copper to the sum of nickel and zinc is $9:2+7=9:9=1:1$.
Since nickel and zinc are $1.4$ lb and $4.9$ lb respectively, the sum of nickel and zinc is $1.4+4.9=6.3$ lb. So, the amount of copper is also $6.3$ lb.
Therefore, the total amount of the alloy that can be made is $1.4+4.9+6.3=\boxed{12.6}$ lb.
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How much alloy can be made with 4.9 lb of zinc and 1.4 lb of nickel?
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The ratio of nickel to zinc to copper in the alloy is 2:7:9.
Given that we have 4.9 lb of zinc and 1.4 lb of nickel, we can calculate the amount of copper in the alloy.
The ratio of nickel to zinc is 2:7. So, if we have 4.9 lb of zinc, we have 4.9 * (2/7) lb of nickel.
Since the ratio of nickel to copper is 2:9, we have 4.9 * (2/7) * (9/2) lb of copper.
Calculating this gives us:
Copper = 4.9 * (2/7) * (9/2) = 4.9 * 9/7 = 6.27 lb
Therefore, the amount of alloy that can be made with 4.9 lb of zinc and 1.4 lb of nickel is 4.9 + 1.4 + 6.27 = 12.57 lb.
So, we can make approximately 12.57 lb of alloy.
The ratio of nickel to zinc to copper in the alloy is 2:7:9.
Given that we have 4.9 lb of zinc and 1.4 lb of nickel, we can calculate the amount of copper in the alloy.
The ratio of nickel to zinc is 2:7. So, if we have 4.9 lb of zinc, we have 4.9 * (2/7) lb of nickel.
Since the ratio of nickel to copper is 2:9, we have 4.9 * (2/7) * (9/2) lb of copper.
Calculating this gives us:
Copper = 4.9 * (2/7) * (9/2) = 4.9 * 9/7 = 6.27 lb
Therefore, the amount of alloy that can be made with 4.9 lb of zinc and 1.4 lb of nickel is 4.9 + 1.4 + 6.27 = 12.57 lb.
So, we can make approximately 12.57 lb of alloy.