Question
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?
Answers
GPT 3.5
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.
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.
Please try again.
GPT 3.5
Apologies for the incorrect solution. Let's try again.
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.