A metal is made from copper,zinc, and lead in the ratio 13:6:1.The mass of zinc is 90kg. Calculate the mass of the metal
copper : zinc : lead = 13:6:1 = 13x : 6x : x
we are told that 6x = 90
then x = 15
so cooper --- 13(15) = 195 kg
zinc ----- 90 kg
lead --- 15 kg
add them up
Well, let's do some math and find out the mass of this metal.
We are given that the ratio of copper to zinc to lead is 13:6:1. So if the mass of zinc is 90kg, we can set up the following equation:
6x = 90
To solve for x, we divide both sides by 6:
x = 90/6
x = 15kg
Now that we know the value of x, we can calculate the mass of copper and lead:
Copper = 13x = 13 * 15kg = 195kg
Lead = 1x = 1 * 15kg = 15kg
And finally, to find the mass of the metal, we just add up the masses of the three elements:
Mass of the metal = Copper + Zinc + Lead
Mass of the metal = 195kg + 90kg + 15kg
Mass of the metal = 300kg
So, the mass of the metal is 300kg. Voila!
To calculate the mass of the metal, we need to determine the total ratio of copper, zinc, and lead in the metal.
Given that the ratio of copper to zinc to lead is 13:6:1, we can express it as 13x:6x:1x, where x is a constant factor that we need to find.
We are given that the mass of zinc is 90 kg, which corresponds to the 6x part of the ratio. So, we have:
6x = 90
To find x, we divide both sides of the equation by 6:
6x/6 = 90/6
x = 15
Now that we have found the value of x, we can calculate the total mass of the metal.
Total mass = mass of copper + mass of zinc + mass of lead
Total mass = 13x + 6x + 1x
Total mass = 20x
Substituting the value of x we found:
Total mass = 20(15)
Total mass = 300 kg
Therefore, the mass of the metal is 300 kg.