An alloy consists of nickel zinc and copper in the ratio 2:7:9 How much alloy can be produced using 3.6lb of zinc
2+7+9 = 18
3.6/18 = 0.20
2:7:9 = 0.4 : 1.4 : 1.8 lbs
To determine the amount of alloy that can be produced using 3.6lb of zinc, we first need to find the amount of each element (nickel and copper) present in the alloy.
Given the ratio of nickel, zinc, and copper in the alloy as 2:7:9, we can calculate the corresponding weights for the nickel and copper.
Let's assume the weight of nickel in the alloy is "2x" pounds and the weight of copper is "9x" pounds, where "x" is a common multiplier for the ratio.
Now, we can set up a proportion to find the value of "x":
(7x/3.6) = 1 (Because zinc is given as 3.6lb)
Cross-multiplying:
7x = 3.6
Dividing both sides by 7:
x = 3.6/7
x ≈ 0.5143
Now that we have the value of "x," we can calculate the weight of nickel and copper in the alloy:
Weight of nickel = 2x = 2(0.5143) ≈ 1.0286 lb
Weight of copper = 9x = 9(0.5143) ≈ 4.6287 lb
Finally, to find the total weight of alloy that can be produced, we sum the weights of nickel, zinc, and copper:
Total weight of alloy = Weight of nickel + Weight of zinc + Weight of copper
= 1.0286 + 3.6 + 4.6287
≈ 9.2573 lb
Therefore, approximately 9.2573 pounds of alloy can be produced using 3.6 pounds of zinc.