Question

A decreased by 50% and then increased by 50% of your result
20 points for answer!

Answer 1

When a value is decreased by 50% and then increased by 50% of the result, the original value is increased by a factor of three-quarters or 0.75.

Step-by-step explanation:

When a value is decreased by 50%, it means that the value is reduced to half of its original amount. Then, when this reduced value is increased by 50% of its result, it means that 50% of the reduced value is added to the reduced value.

To find the factor by which the original value is increased, we can follow these steps:

1. Let's assume the original value is 'a'.
2. Decreasing 'a' by 50% gives us 0.5*a.
3. Increasing 0.5*a by 50% means adding 0.5*0.5*a = 0.25*a to 0.5*a.

So, the final value is 0.5*a + 0.25*a = 0.75*a.

Therefore, the original value 'a' is increased by a factor of three-quarters or 0.75.