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. Write an expression for the number of counties in Georgia

Answer 1

To help us find the number of counties in Georgia, let's define:

- Let \( x \) represent the number of counties in Arizona.
- The number of counties in Florida can be expressed as \( 5x - 8 \) (which is 8 less than 5 times the number of counties in Arizona).
- The number of counties in Georgia can then be expressed as \( 2(5x - 8) + 25 \) (which is 25 more than twice the number of counties in Florida).

Now, simplifying the expression for Georgia:

1. Start with the expression for Georgia:
\[
G = 2(5x - 8) + 25
\]

2. Distribute the 2:
\[
G = 10x - 16 + 25
\]

3. Combine the constants:
\[
G = 10x + 9
\]

Thus, the expression for the number of counties in Georgia is:
\[
G = 10x + 9
\]