Grandma is removing weeds from her garden. She estimates that there are 250 weeds in the garden at the moment, and she can remove weeds at a rate of 5 per minute. At this rate, how many minutes will it take her to only have 30 weeds remaining in the garden?(3 points)

Question

Grandma is removing weeds from her garden.  She estimates that there are 250 weeds in the garden at the moment, and she can remove weeds at a rate of 5 per minute.  At this rate, how many minutes will it take her to only have 30 weeds remaining in the garden?(3 points)
Equation:   
250 - 5m = 30

Solution:  
m = 44

Meaning of the solution in words:   
It will take her 44 minutes to have 30 weeds remaining.

GPT-4o mini · Answer

Let's verify the given equation and solution to ensure everything is clear.

Equation: The problem states that Grandma currently has 250 weeds and wants to end up with 30 weeds. If she removes weeds at a rate of 5 per minute, we can set up the equation as follows:

\[ 250 - 5m = 30 \]

Where \( m \) is the number of minutes she spends removing the weeds.

Solution: To solve the equation for \( m \):

Start by isolating \( 5m \) on one side:

\[ 250 - 30 = 5m \] \[ 220 = 5m \]

Now, divide both sides by 5 to find \( m \):

\[ m = \frac{220}{5} \] \[ m = 44 \]

Meaning of the solution in words: It will take her 44 minutes to have 30 weeds remaining in the garden.

The explanation and calculation are correct, confirming that Grandma will take 44 minutes at her current rate to reduce the weed count from 250 to 30.