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:
Solution:
Meaning of the solution in words:
Let x be the number of minutes it takes Grandma to have 30 weeds remaining in the garden.
The number of weeds removed in x minutes is 5x.
The number of weeds remaining after x minutes is 250 - 5x.
We want to find the value of x when 250 - 5x = 30.
Simplifying the equation, we get 5x = 220.
Dividing both sides by 5, we get x = 44.
Therefore, it will take Grandma 44 minutes to only have 30 weeds remaining in the garden.
To determine the number of minutes it will take Grandma to have only 30 weeds remaining in the garden, we can use the equation:
Number of weeds remaining = Total number of weeds - Rate of weed removal × Number of minutes
Given that there are currently 250 weeds in the garden and Grandma can remove weeds at a rate of 5 per minute, we want to find the number of minutes when there will be only 30 weeds remaining.
So we can rewrite the equation as:
30 = 250 - 5 × Number of minutes
To solve for the number of minutes, we can rearrange the equation:
5 × Number of minutes = 250 - 30
5 × Number of minutes = 220
Number of minutes = 220 / 5
Number of minutes = 44
Therefore, it will take Grandma approximately 44 minutes to have only 30 weeds remaining in the garden.
Equation:
Let x be the number of minutes it takes Grandma to remove 30 weeds.
The equation can be set up as:
250 - 5x = 30
Solution:
To solve the equation, we need to isolate the variable x.
250 - 5x = 30
Subtract 250 from both sides:
-5x = -220
Divide both sides by -5:
x = 44
Meaning of the solution in words:
It will take Grandma 44 minutes to remove all but 30 weeds from her garden at a rate of 5 weeds per minute.