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?
a. 17.5 in
b. 20.5 in
c. 83.6 in
d. 100.8 in
Use mental math to determine the solution x/3=24.
a. x=6
b. x=8
c. x=27
d. x=72
my answer is a for number 1. and d for number 2?
number 1 is d and number2 is b
Are you sure?
yes
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To find the width of the model, we need to first determine the length and width of the classroom itself. The problem states that the length of the classroom is 2.4 times its width.
Let's represent the width of the classroom as "w". Therefore, the length of the classroom would be 2.4w.
Now, we can set up an equation to solve for the width of the classroom. The length of the student's model is given as 42 inches. So, the length of the classroom (2.4w) should be equal to 42 inches.
2.4w = 42
Next, we need to solve for "w" by dividing both sides of the equation by 2.4:
w = 42 / 2.4
Using mental math or using a calculator, we can determine the value of w:
w ≈ 17.5
Therefore, the width of the classroom is approximately 17.5 inches.
Now, let's determine the width of the model. The problem doesn't explicitly state the scale of the model, but we can assume that the model should maintain the same proportions as the actual classroom. Since the width of the model is not mentioned, it is safe to assume that the width of the model should also be 2.4 times its length.
Given that the length of the model is 42 inches, we can calculate the width of the model by multiplying the length by 2.4:
Width of the model = 2.4 * 42
Width of the model ≈ 100.8 inches
Therefore, the correct answer is d. 100.8 in.