Question

The snow is now 52 inches deep. If this was a 77% decrease, what was the initial depth? What equation can help you find this?

Answer 1

The required equation is:

0.23x = 52

Hence, option A is true.

Explanation:

Given

Let 'x' be the initial depth

The snow is now 52 inches deep and it is a 77% decrease.

Let the initial 'x' depth be represented as 100%.

x → 100%

Given the current 52 inches is a 77% decrease. So, we need to decrease the 77/100 or 0.77 from the initial depth, so

[100% - 77%] of x = 52

[100/100 - 77/100] × x = 52

[1 - 0.77] × x = 52

0.23x = 52

Therefore, the required equation is:

0.23x = 52

Hence, option A is true.