Answer:
7th Place
Step-by-step explanation:
Seeing as how the number of runners in front of Paula is [tex]\frac{1}{3}[/tex] the number of runners behind her,
Assign the number of people behind Paula to a variable:
# of people behind Paula = b, which means
# of people ahead of Paula = [tex]\frac{1}{3}[/tex] b
Use the variable to make an equation:
b (people behind Paula) + [tex]\frac{1}{3}[/tex] b (people ahead of Paula) + 1 (Paula) = 25
b + [tex]\frac{1}{3}[/tex] b + 1 = 25
Solve for b:
b + [tex]\frac{1}{3}[/tex] b + 1 = 25
b + [tex]\frac{1}{3}[/tex] b = 24
[tex]\frac{4}{3}[/tex] b = 24
b = 18
If there are 18 people behind Paula, there are [tex]\frac{1}{3}[/tex] * 18 people in front of her, which is 6; This puts Paula in 7th place.
