Question

Translate the percent word problem in a equation: If 5 is increased to 8, the increase is what percent of the original number?

Answer 1

The equation that describes the problem "If 5 is increased to 8, the increase is what percent of the original number?" would be

`x=(8-5)/(5)*100%` where x is the percent of increasing of 5 to 8.

Explanation:

1. First it is required to define which is the question, or unknown value. In this case is the percentage of increasing. The x letter is assigned to this unknown.
2. The rest of the provided information is used to setup the function that solves the unknown value. In this case, the original value (5) and the new value (8) are known.
3. Then, it is needed to select the operations that allow the known information to solve the unknown. The subtraction allows to found the absolute increasing in the original value. And a division allows to compare this absolute increasing how much of the original value is, in other words the fraction of increasing.
4. Finally, it is required to multiply by 100%, in order to convert the fraction of increasing into a percentage form.

Answer 2

If you increased 5 to 10, then I would have doubled the number 5 and this is a 100% increases.
If you increased 5 to 7.5, then this is 50% increase, because 50% of 5 is 2.5 and 5 + 2.5 = 7.5
If you increased 5 to 6, then this is a 20% increase,because 5 + 1 = 6 and 1 is 20% of 5
If you increased 5 to 7, then this is a 40% increase,because 5 increased by 2, 5 + 2 = 7, and 2/5 = 40%
If you increased 5 to x, then 5 was increased by x/5×100%
For example 5 to 9 is a4/5×100%=80% increase

So here 5 increases by 8, 5 + 3 = 8, thus the percentage increase is3/5×100%=0.006