An alloy is made by using copper and zinc in the ratio of 17:3 how much zinc is used to make 4kg of the alloy?
zinc = 3x kg,
copper = 17x kg,
3x + 17x = 4.0 kg,
20x = 4,
x = 4 / 20 = 0.20,
3x = 3 * 0.20 = 0.6 kg = zinc required.
16
let weight of zinc and copper=3x and 17x respectively.
Then,
17x + 3x=4000grams
20x=4000grams
x=(4000/20)grams
x=200grams
therefore, zinc required=(200*3)grams=600 grams=0.6 kg.
To find out how much zinc is used to make 4 kg of the alloy, we first need to determine the total ratio of copper to zinc. The given ratio is 17:3, which means for every 17 parts of copper, there are 3 parts of zinc.
To calculate the amount of zinc, we can set up a proportion using the weight of the alloy and the ratio of copper to zinc:
(Weight of copper) : (Weight of zinc) = Ratio of copper : Ratio of zinc
Let's plug in the known information and solve for the weight of zinc:
(17 : 3) = (Weight of copper) : (Weight of zinc)
17/3 = Weight of copper / Weight of zinc
Now, we can solve for the weight of zinc:
Weight of zinc = (Weight of copper × 3) / 17
Weight of zinc = (4 kg × 3) / 17
Weight of zinc = 12 kg / 17
Weight of zinc ≈ 0.71 kg
Therefore, approximately 0.71 kg of zinc is used to make 4 kg of the alloy.