Question

Paula has $10 and earns $0.50 per lap she runs for her school’s fundraiser. Jackie has $15 and earns $0.25 per lap she runs for her school’s fundraiser. After how many laps will Paula have more money than Jackie?

Answer 1

Answer: After 20 laps Paula will have more money than Jackie.

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

`15+0.25x< 10+0.50x\\\\\Rightarrow\ 15-10<0.50x-0.25x\\\\\Rightarrow\ 5< 0.25x\\\\\Rightarrow\ (5)/(0.25)<x\\\\\Rightarrow\ 20<x`

Hence, after 20 laps Paula will have more money than Jackie.