Question

In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains462 grams of copper. How many grams of zinc does it contain?It containsgrams of zinc.

Answer 1

In order to calculate the amount of zinc in the chemical, we can use the following rule of three:

$\begin{gathered} \text{grams}\to\text{ratio} \\ 462\to14\text{ parts} \\ x\to3\text{ parts} \\ \\ \frac{462}{x}=\frac{14}{3} \\ 14\cdot x=462\cdot3 \\ x=\frac{462\cdot3}{14} \\ x=99 \end{gathered}$

Therefore the amount of zinc is 99 grams.