Question

"Purple Fury" spell increases the next attack points by 15%. If the attack after the cast of the spell is 460 points, what is the regular attack?

Answer 1

The regular attack value before the Purple Fury spell is calculated by dividing the attack points after the spell (460 points) by 1.15. The result is 400 points, which is the original attack value.

Step-by-step explanation:

The question asks us to determine the regular attack value before the Purple Fury spell that increases the attack points by 15%. Given the attack after the spell is 460 points, we need to find the original attack amount (we will call this x).

To solve this, we set up an equation where the regular attack value (x) increased by 15% equals the attack value after the spell (460 points):
x + 0.15x = 460

The equation can be simplified to 1.15x = 460. Dividing both sides by 1.15 gives us:
x = 460 / 1.15
x = 400.

Therefore, the regular attack value before the Purple Fury spell is 400 points.

Answer 2

To find the original attack points before a 15% increase that resulted in 460 points, divide the increased amount by 1.15. The calculation reveals that the regular attack is 400 points.

Step-by-step explanation:

The student is asking how to find the original attack value before a 15% increase given that the increased attack is 460 points. To solve this, we use the concept of percentage increase. The formula to find the original amount before the percentage increase is Original Amount = Increased Amount / (1 + Percentage Increase).

We've been told that the 'Purple Fury' spell increases attack points by 15%, which means the Percentage Increase is 15% or 0.15 in decimal form. The increased attack points after the spell is cast is 460. We substitute these values into the formula:

Original Attack = 460 / (1 + 0.15)

Original Attack = 460 / 1.15

Original Attack = 400

Therefore, the regular attack before the 'Purple Fury' spell is cast is 400 points.