12. 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:
Equation: 250 - 5x = 30
Solution:
Subtract 250 from both sides: -5x = -220
Divide by -5: x = 44
Meaning of the solution in words: It will take Grandma 44 minutes to remove enough weeds so that only 30 remain in the garden.
Equation:
Let x be the number of minutes it takes Grandma to remove the weeds.
The initial number of weeds is 250.
The rate at which Grandma can remove weeds is 5 per minute.
The remaining number of weeds after x minutes can be represented by the equation:
250 - 5x = 30
Solution:
To find the value of x, we need to solve the equation 250 - 5x = 30.
First, subtract 250 from both sides of the equation to isolate the term with x:
-5x = 30 - 250
Next, simplify:
-5x = -220
To solve for x, divide both sides of the equation by -5:
x = (-220) / (-5)
Simplifying further:
x = 44
Thus, it will take Grandma 44 minutes to only have 30 weeds remaining in the garden.
Meaning of the solution in words:
Grandma can remove 5 weeds per minute. Starting with 250 weeds, she needs to keep removing weeds until she only has 30 left. It will take her 44 minutes to accomplish this.