Question

A sculptor makes a scale model of a statue that is 2/5 meters tall before finished statue, which is 3 2/5 meters tall. Solve to find the scale factor of the finished statue in comparison to the small model.

Answer 1

To find the scale factor, we need to compare the height of the finished statue to the height of the small model.

The height of the small model is 2/5 meters.
The height of the finished statue is 3 2/5 meters.

To compare these heights, we need to convert the mixed number 3 2/5 to an improper fraction:

3 2/5 = (3 * 5 + 2) / 5 = 17/5

Now, we can compare the heights:

Scale factor = Height of finished statue / Height of small model
= 17/5 / 2/5
= 17/5 * 5/2 (inverted the denominator and multiplied)
= 17/2

Therefore, the scale factor of the finished statue in comparison to the small model is 17/2.