Equation:
Let \( w \) be the number of weeds remaining, \( r \) be the rate of removal per minute, and \( t \) be the time in minutes. The equation can be set up as follows:
\[ w = \text{initial number of weeds} - (\text{rate of removal} \times t) \]
So,
\[ 30 = 250 - (5 \times t) \]
Solution:
To find \( t \), rearranging the equation gives:
\[ 5t = 250 - 30 \] \[ 5t = 220 \] \[ t = \frac{220}{5} = 44 \]
Meaning of the solution in words:
Grandma will need 44 minutes to reduce the number of weeds in her garden from 250 to just 30 by removing weeds at a rate of 5 weeds per minute.