The ratio of zinc and copper in an alloy is7:9 if the weight of the copper in the alloy is 11.7 kg , find weight of the zinc in the alloy
z = 7/9 c
To find the weight of zinc in the alloy, we need to use the given ratio and the weight of copper in the alloy.
Let's start by determining the total ratio of zinc and copper in the alloy. In this case, the total ratio is 7 + 9 = 16.
Next, we'll calculate the weight of zinc using proportions. We know that the weight of copper is 11.7 kg, and according to the ratio, the weight of zinc to copper is 7:9.
Setting up the proportion, we have:
Weight of zinc / Weight of copper = Ratio of zinc to copper
Weight of zinc / 11.7 kg = 7/9
To find the weight of zinc, we can solve this proportion.
First, cross-multiply:
Weight of zinc = (7/9) * 11.7 kg
Weight of zinc = 7 * 11.7 kg / 9
Weight of zinc = 77 / 9 kg
Weight of zinc ≈ 8.56 kg
Therefore, the weight of zinc in the alloy is approximately 8.56 kg.