Tara is driving from Akron to Lakewood. So far, she has driven 33 miles, which is 75% of the total distance. How far is it from Akron to Lakewood?

[tex]\[
\frac{\text{Part}}{\text{Whole}} = \frac{\%}{100}
\][/tex]



Answer :

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.

Answer:

Step-by-step explanation:

44 miles Step-by-step explanation: If 75% is 33 miles, 25% is 11 miles so 100% is 44 miles