Respuesta :
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
The correct ratio was 27: 1.
Since Al made a tree house last summer, and I have started by making a model that included a window with height 1/3 in. and width 1/4 in., while the actual tree house window had height 1/4 yd and width 3/16 yd, and 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 4/3, to determine what was the correct ratio and what was Al's likely error, the following calculations must be performed:
First, you must consider the equality between yards and inches. Then, compare the proposed ratio with the real ratio.
- 1 yard = 36 inches
- 1/4 yards = 9 inches
- 36/16 x 3 = 6.75
- Height: 0.333 to 9 inches
- Width: 0.25 to 6.75
- 9 / 0.333 = 27
- 6.75 / 0.25 = 27
Therefore, the correct ratio was 27: 1.
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