Question

The basic recipe for split pea soup serves 8 people. Find the amount of each ingredient needed to serve 32 people.

Answer 1

`\bf \begin{array}{ccll} \stackrel{basic}{recipe}&people\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&8\\ r&32 \end{array}\implies \cfrac{1}{r}=\cfrac{8}{32}\implies \cfrac{1\cdot 32}{8}=r`

so, 4 time as much the recipe, or 4 times as much of each ingredient.