Given:
A metal is made from copper, zinc and lead in the ratio 13:6:1.
The mass of zinc is 90kg.
To find:
The mass of the metal.
Solution:
It is given that the metal is made from copper, zinc and lead in the ratio 13:6:1.
Let the mass of copper, zinc and lead are 13x, 6x and 1x respectively.
The mass of zinc is 90kg. So,
[tex]6x=90[/tex]
[tex]x=\dfrac{90}{6}[/tex]
[tex]x=15[/tex]
Now, total mass of the metal is:
[tex]Total=13x+6x+1x[/tex]
[tex]Total=20x[/tex]
[tex]Total=20(15)[/tex]
[tex]Total=300[/tex]
Therefore, the mass of the metal is 300kg.