Question

Al made a tree house last summer. He started by making a model. The model included a window with height one third in. 1/3 in. and width one fourth in. 1/4 in. The actual tree house window had height one fourth yd 1/4 yd and width three sixteenths yd 3/16 yd. Al incorrectly said that the ratio of the height of the window in the model to the height of the window in the tree house was four thirds 4/3. What was the correct​ ratio? What was Al​'s likely​ error?

Answer 1

Model Sizes: Height: 1/3 inches Width: 1/4 inches

Actual size: Height: 1/4 yards Width: 3/16 yards

Al said the ration of the height of the window in the model to the height of the window in the tree house was 4/3, which was incorrect. Find the correct ratio and what was Al's likely error?

So, first, let's convert to decimals.

Model Sizes: Height: .333 inches Width: .25 inches

Actual size: Height: .25 yards Width: .1875 yards

Let's divide .333 by .25.

The ratio for the amount it increased by is not 1.333333 because that would be Al's answer. Now we need to convert 1.333333 into the yard form to get our answer

We need to divide 36(which is the amount of inches in a yard) by our number.

36/1.33333333333=27

The ratio is the yards in the tree house to the inches in the model, which would give us the magical answer of 27

Answer: 27