Make a word problem for this equation: 4(w+3)=w-15
Sure! Here's a word problem for the equation 4(w+3)=w-15:
Maria has 4 times the number of pencils that David has plus 3. If Maria gives away 15 pencils, the number of pencils she has left is equal to the number of pencils David has. How many pencils does David have?
To solve this problem, we can translate it into the given equation:
Let's say the number of pencils David has is represented by the variable "w".
According to the problem, Maria has 4 times the number of pencils David has plus 3, which can be represented as 4(w+3).
The equation 4(w+3)=w-15 represents the scenario where Maria gives away 15 pencils and the number of pencils she has left is equal to the number of pencils David has.
Now, we can solve the equation to find the value of "w" (the number of pencils David has). By applying the distributive property, the equation becomes:
4w + 12 = w - 15
Next, we can gather all the "w" terms on one side of the equation by subtracting w from both sides:
4w - w = -15 - 12
3w = -27
Finally, to isolate the variable w, we divide both sides of the equation by 3:
w = -27 รท 3
w = -9
Therefore, David has -9 pencils. However, since it's not possible to have a negative number of pencils, we can conclude that there is no valid solution to this word problem.