Florida has 8 less than 5 times the number of counties, a, in Arizona.
Georgia has 25 more than twice the number of counties, f, in Florida.
a. Write an expression for the number of counties in Florida.__
Expression for the number of counties in Florida:
b. Write an expression for the number of counties in Georgia.__
Expression for the number of counties in Georgia:
c. Arizona has 15 counties. How many do Florida and Georgia have?__
Number of counties Florida has: __
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a. Expression for the number of counties in Florida: 5a - 8
b. Expression for the number of counties in Georgia: 2(5a - 8) + 25 = 10a - 16 + 25 = 10a + 9
c. If Arizona has 15 counties, we can substitute a = 15 into the expressions above to find the number of counties in Florida and Georgia:
Number of counties Florida has: 5(15) - 8 = 75 - 8 = 67
Number of counties Georgia has: 10(15) + 9 = 150 + 9 = 159
a. To write an expression for the number of counties in Florida, we are given that Florida has 8 less than 5 times the number of counties, a, in Arizona. So the expression would be: 5a - 8.
b. To write an expression for the number of counties in Georgia, we are given that Georgia has 25 more than twice the number of counties, f, in Florida. So the expression would be: 2f + 25.
c. If Arizona has 15 counties, we can substitute this value into the expressions for Florida and Georgia to find their respective county counts.
For Florida: Number of counties = 5a - 8 = 5(15) - 8 = 75 - 8 = 67 counties.
For Georgia: Number of counties = 2f + 25 = 2(67) + 25 = 134 + 25 = 159 counties.
Therefore, Florida has 67 counties and Georgia has 159 counties.
f = 5a-8
g = 2f+25