Question

In a certain​ chemical, the ratio of zinc to copper is 3 to 11. A jar of the chemical contains 473 grams of copper. How many grams of zinc does it​ contain?

Answer 1

`\large \boxed{\text{129 g}}`

Explanation:

We can use ratio and proportion to solve this problem.

Let x = the mass of Zn

`\begin{array}{cccl}\frac{\text{Zn}}{\text{Cu}} & = & (3)/(11) & \\\\(x)/(473) & = & (3)/(11) & \text{Substituted the mass of Cu}\\\\x & = & (3*473)/(11) &\text{Multiplied each side by 473} \\\\ & = &\mathbf{129} & \text{Simplified}\\\end{array}\\\text{The mass of Zn is $\large \boxed{\textbf{129 g}}$}`

Check:

`\begin{array}{rcl}(129)/(473) & = &(3)/(11) \\\\(3)/(11) & = & (3)/(11) \\\end{array}`

OK