Certainly! Let’s break down this problem step by step:
1. Given the distance Tara has driven: 33 miles.
2. She has driven 75% of the total distance.
We need to find the total distance from Akron to Lakewood. Let's denote the total distance as [tex]\( D \)[/tex].
Using the proportion:
[tex]\[
\frac{\text{part}}{\text{whole}} = \frac{\%}{100}
\][/tex]
In this context, the part is the distance driven so far, which is 33 miles. The whole is the total distance, [tex]\( D \)[/tex], and the percentage driven is 75%.
So, we can write the equation as:
[tex]\[
\frac{33}{D} = \frac{75}{100}
\][/tex]
To solve for [tex]\( D \)[/tex], we can cross-multiply to get:
[tex]\[
33 \cdot 100 = 75 \cdot D
\][/tex]
Simplifying this:
[tex]\[
3300 = 75D
\][/tex]
Next, divide by 75 to isolate [tex]\( D \)[/tex]:
[tex]\[
D = \frac{3300}{75}
\][/tex]
Dividing:
[tex]\[
D = 44
\][/tex]
So, the total distance from Akron to Lakewood is 44 miles.
