Question

A teacher enlarged an original handout by 30% for a visually impairred student. she lost her original handout and decided to reduce the enlarged copy by 30%. will the reduced copy be the same size as the original handout?

Answer 1

The reduced copy will not be the same size as the original. After enlarging by 30% and then reducing by 30%, the size decreases more than the original size because percentages work on different base amounts.

Step-by-step explanation:

If a teacher enlarges an original handout by 30%, and then reduces the enlarged copy by 30%, the reduced copy will not be the same size as the original handout. Here's why:

Let's assume the original handout size is 100 units. An increase of 30% would make it 130 units (100 units + 30% of 100 units). Now, if we decrease these 130 units by 30%, we're taking away 39 units (30% of 130 units), which leaves us with 91 units.

The final size is 91 units, which is less than the original size of 100 units. This occurs due to the fact that the percentage decrease is applied to a larger number (130 units) than the percentage increase was applied to (100 units), resulting in a different value when reduced.