Question

When a volcano​ erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it erupted was​ 8,219.5 feet. This was​ 85% of the​ volcano's original height. What was the original​ height?

(answer this and show your work please thank you)
The original height was _answer this_ feet.

please help me with this thank you

Answer 1

9670 feet

Explanation:

The height given (8219.5 ft) is 85% OF ORIGINAL, hence original is much higher. But how do we figure this out?

we translate word problem to equation.

8219.5 IS 85% of TOTAL

Firstly, 85% = 85/100 = 0.85

Remember, is means =

of means multiplication

So we have:

8219.5 = 0.85 * Total

Hence, total = [let total be 7]

8219.5 = 0.85 * t

t = 8219.5/0.85 = 9670 feet