Question

It is estimated that each guest at a party will eat

9/10 pounds of chocolates. How many guests can be served with 45 pounds of chocolate?

Answer 1

`\bf \begin{array}{ccll} guests&\stackrel{lbs}{chocolate}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&(9)/(10)\\\\ g&45 \end{array}\implies \cfrac{1}{g}=\cfrac{(9)/(10)}{45}\implies \cfrac{1}{g}=\cfrac{(9)/(10)}{(45)/(1)}\implies \cfrac{1}{g}=\cfrac{9}{10}\cdot \cfrac{1}{45} \\\\\\ \cfrac{1}{g}=\cfrac{9}{450}\implies \cfrac{1\cdot 450}{9}=g`

and pretty sure you know how much that is.