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,
![6x=90](https://img.qammunity.org/2022/formulas/mathematics/high-school/zxil96155pkz0rr75cwfv9uij9wgax11ro.png)
![x=(90)/(6)](https://img.qammunity.org/2022/formulas/mathematics/high-school/loo9hf4reri5us3uwlrcavpvvrgco84q8g.png)
![x=15](https://img.qammunity.org/2022/formulas/mathematics/high-school/772soggszwrdwst60x4slafs3txdxb7skt.png)
Now, total mass of the metal is:
![Total=13x+6x+1x](https://img.qammunity.org/2022/formulas/mathematics/high-school/pfbr1q9v7n6v7c7k0knq2unwxmtkll05de.png)
![Total=20x](https://img.qammunity.org/2022/formulas/mathematics/high-school/1uixxc1tcop39q4t0e612mt20j464zbiir.png)
![Total=20(15)](https://img.qammunity.org/2022/formulas/mathematics/high-school/94jq3vxdn4pmox33lpajkai33t3d525t8w.png)
![Total=300](https://img.qammunity.org/2022/formulas/mathematics/high-school/yah3gucgdex39r4tyxdp3ep67eoyy08y7g.png)
Therefore, the mass of the metal is 300kg.