An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the students model is 42 in. What should the width of the model be?
Let's assume the width of the classroom is x inches.
Then the length of the classroom is 2.4 * x = 2.4x inches.
Since the length of the student's model is 42 inches, we have 2.4x = 42.
Dividing both sides of the equation by 2.4, we get x = 42 / 2.4 = 17.5 inches.
Therefore, the width of the model should be 17.5 inches. Answer: \boxed{17.5}.
To find the width of the model, we need to determine the width of the actual classroom. Since the length of the classroom is 2.4 times its width, we can set up the equation:
Width of the classroom = x
Length of the classroom = 2.4x
Now, we are given the length of the model as 42 inches. We can set up another equation:
Length of the model = 42 inches
Since the length of the model represents 2.4 times the width of the classroom, the equation can be rewritten as:
42 inches = 2.4x
To find x, we need to isolate it. Divide both sides of the equation by 2.4:
42 inches / 2.4 = x
x ≈ 17.5 inches
Therefore, the width of the model should be approximately 17.5 inches.