Answer: After 20 laps Paula will have more money than Jackie.
Step-by-step explanation:
Let x = Number of laps.
Given, Paula has $10 and earns $0.50 per lap she runs for her school’s fundraiser.
i.e. Total amount Paula has =$ [ 10 +0.50 (Number of laps)]
= $ [10+0.50x]
Jackie has $15 and earns $0.25 per lap she runs for her school’s fundraiser.
i.e. Total amount Jackie has =$ [ 15 +0.25 (Number of laps)]
= $ [15+0.25x]
When Paula has more money , then
[tex]15+0.25x< 10+0.50x\\\\\Rightarrow\ 15-10<0.50x-0.25x\\\\\Rightarrow\ 5< 0.25x\\\\\Rightarrow\ \dfrac{5}{0.25}<x\\\\\Rightarrow\ 20<x[/tex]
Hence, after 20 laps Paula will have more money than Jackie.
