An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How much of each metal is needed to make 3.6 kg of this alloy?
To determine how much of each metal is needed, we first need to find the ratio of each metal in the alloy.
The ratio of nickel to zinc to copper is 2:7:9.
This means that for every 2 parts of nickel, we have 7 parts of zinc and 9 parts of copper.
To find the total number of parts, we sum the parts of each metal: 2 + 7 + 9 = 18 parts.
To find the amount of each metal needed to make 3.6 kg of the alloy, we need to multiply the ratio by the weight of the alloy.
For nickel: 2/18 * 3.6 kg = 0.4 kg
For zinc: 7/18 * 3.6 kg = 1.4 kg
For copper: 9/18 * 3.6 kg = 1.8 kg
Therefore, to make 3.6 kg of this alloy, we need 0.4 kg of nickel, 1.4 kg of zinc, and 1.8 kg of copper.
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How much alloy can be produced using 4.9 lb of zinc?
To determine how much alloy can be produced using 4.9 lbs of zinc, we need to calculate the amounts of nickel and copper needed in the same ratio of 2:7:9.
Since we know that the ratio of zinc to nickel to copper is 7:2:9, we can set up a proportion to find the amount of nickel and copper needed:
7/2 = 4.9/x
To find x, we cross-multiply and solve for x:
7x = 4.9 * 2
7x = 9.8
x = 9.8/7
x ≈ 1.4
So, 4.9 lbs of zinc can produce approximately 1.4 lbs of nickel and 1.4 lbs of copper.
Therefore, a total of 1.4 + 4.9 + 1.4 = 7.7 lbs of alloy can be produced using 4.9 lbs of zinc.
Erm...no
Apologies for the incorrect calculation. Let's recalculate:
The ratio of zinc to nickel to copper in the alloy is 7:2:9.
We know that we have 4.8 lbs of zinc.
To find out how much alloy can be produced, we need to calculate the amounts of nickel and copper needed in the same ratio.
Let's set up a proportion:
7/4.8 = 2/x
Cross-multiply to solve for x:
7x = 4.8 * 2
7x = 9.6
x = 9.6/7
x ≈ 1.3714
Therefore, if we have 4.8 lbs of zinc, the amount of alloy that can be produced is approximately 1.37 lbs.
No
Apologies again for the confusion. Let's correctly calculate the amount of alloy that can be produced using 4.9 lbs of zinc.
The ratio of zinc to nickel to copper in the alloy is 7:2:9.
We know that we have 4.9 lbs of zinc.
To find out how much alloy can be produced, we need to calculate the amounts of nickel and copper needed in the same ratio.
Let's find the proportion of zinc to the total alloy:
7 + 2 + 9 = 18 (total parts)
The proportion of zinc is 7/18.
To find the amount of zinc needed in the alloy:
4.9 lbs * (7/18) = 1.9 lbs
Similarly, the proportion of nickel is 2/18 and the proportion of copper is 9/18.
To find the amount of nickel needed in the alloy:
4.9 lbs * (2/18) = 0.54 lbs
To find the amount of copper needed in the alloy:
4.9 lbs * (9/18) = 2.45 lbs
Therefore, using 4.9 lbs of zinc, we can produce 1.9 lbs of alloy, which consists of 0.54 lbs of nickel and 2.45 lbs of copper.