Question

1. the ratio of goblins to wizards was 7 to 3. if there were 105 wizards, how many goblins were there?

Explanation:

Step1: Find scaling factor

Let $k$ be the scaling factor. Since the wizard portion of the ratio is $3k = 105$, solve for $k$:
$k = \frac{105}{3} = 35$

Step2: Calculate number of goblins

The number of goblins is $7k$. Substitute $k=35$:
$7\times35 = 245$

Answer:

245