Question

Florida has 8 less than 5 times the number of counties in Arizona. Georgia has 25 more than twice the number of counties in Florida. Arizona has 15 counties. How many do Florida and Georgia have?

Answer 1

First, let's determine the number of counties in Florida using the information provided about Arizona.

We know that Arizona has 15 counties. According to the problem, Florida has 8 less than 5 times the number of counties in Arizona.

To calculate this:
\[
\text{Counties in Florida} = 5 \times \text{(counties in Arizona)} - 8
\]
Substituting the value for Arizona:
\[
\text{Counties in Florida} = 5 \times 15 - 8
\]
\[
= 75 - 8
\]
\[
= 67
\]

So, Florida has 67 counties.

Next, we need to find out how many counties Georgia has. The problem states Georgia has 25 more than twice the number of counties in Florida.

Using the number we just calculated for Florida:
\[
\text{Counties in Georgia} = 2 \times \text{(counties in Florida)} + 25
\]
Substituting the value for Florida:
\[
\text{Counties in Georgia} = 2 \times 67 + 25
\]
\[
= 134 + 25
\]
\[
= 159
\]

To summarize:
- Florida has 67 counties.
- Georgia has 159 counties.

Thus, the final answers are:
- Florida: 67 counties
- Georgia: 159 counties