Question

Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring

Answer 1

Answer : option C

The ring increases the power of healing by 30%

Without the ring, the health point is H

Increasing by 30%, the health point increases by
`(30)/(100) H`

The health point increases by 30% so H becomes

`H + (30)/(100) H`

Now we simplify the fraction

`H + (3)/(10) H`

Factor out H, it becomes

`H(1 + (3)/(10))`

Option C is correct.

Answer 2

Options B:
`(130)/(100)H` and C:
`((3)/(10)+1)H`

Explanation:

Remember that 30% in fraction form is
`(30)/(100)`

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

`(30)/(100) H`

And since it would add that to the current total we can right the current total as:

`(100)/(100) H`

So our equation would be:

`(30)/(100)H+(100)/(100)H`

For option B:

We can factor out the H and you will be left with:

`((30)/(100)+(100)/(100))H`

Combine or add the fractions inside the parenthesis and you will have:

`(130)/(100)H`

For option C:

We can simplify the fractions which will result in:

`(3)/(10)H+1H`

Then factor out the H and you will have:

`((3)/(10)+1)H`