Final answer:
To determine how much alloy can be produced using 4.9 lb of zinc in a ratio of 2:7:9 for nickel, zinc, and copper respectively, we can calculate the amounts of nickel and copper using the given proportions. Substituting the given value of zinc into the equations, we find that 1.4 lb of nickel and 6.3 lb of copper can be produced.
Step-by-step explanation:
To determine how much alloy can be produced using 4.9 lb of zinc, we need to calculate the amount of nickel and copper required in the alloy.
Given the ratio of nickel:zinc:copper is 2:7:9, we can set up the following proportion:
Nickel/zinc = 2/7
Solving for nickel, we have:
Nickel = (2/7) * zinc
Similarly, we can set up the following proportion for copper:
Copper/zinc = 9/7
Solving for copper, we have:
Copper = (9/7) * zinc
Now we can substitute the given value of zinc (4.9 lb) into the equations to calculate the amounts of nickel and copper:
Nickel = (2/7) * 4.9 = 1.4 lb
Copper = (9/7) * 4.9 = 6.3 lb
Therefore, using 4.9 lb of zinc, we can produce 1.4 lb of nickel and 6.3 lb of copper in the alloy.