Question

Ross has a model truck. It has a scale of 1 inch for every 32 inches on a real-sized truck. He wants to build a garage for the model at the same scale.

Given that the garage for a real-sized truck is 12 feet wide, how wide should his model garage be?

Answer 1

4.5 inches

Explanation:

First, convert all measurements to the mase units

12 feet -> 144 in

Now, we will identify what 144 inches would be as a model scale. We will do so by dividing 144/32 since 32inches equals 1 model scale inch.

144/32= 4.5

therefore, the garage will be 4.5 inches as a model scale.

Answer 2

Answer in decimal form: 4.5 inches

Answer as a mixed number = 4 & 1/2 inches

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Explanation:

" It has a scale of 1 inch for every 32 inches on a real-sized truck" means the the scale is 1:32

Put another way, the real life width is 32 times greater than the scale model.

So we can form the equation

y = 32x

where x is the scale model width and y is the actual real life width.

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The garage in the real world is 12 feet wide, or 12*12 = 144 inches wide.

Plug y = 144 into the equation and solve for x

y = 32x

32x = y

32x = 144

x = 144/32

x = 4.5

His scale model garage must be 4.5 inches wide

4.5 inches = 4 & 1/2 inches = 4 and a half inches