Final answer:
Jenny started with $115.
Step-by-step explanation:
To solve this problem, we need to work backwards. Let's start with the amount Jenny had at the end, which is $20. Since she spent one-fifth of what was left in the third store, we can find the amount she had before that by multiplying $20 by 5. This gives us $100. Next, we can find the amount she had before the second store by adding $5 and one-third of what was left. By multiplying the amount by 3, we get $105. Finally, we can find the amount she started with by adding $5 and one-third of what was left. By multiplying the amount by 3, we get $115. Therefore, Jenny started with $115.