Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day.

To find out how many days it will take for Judy and Elenore to have the same amount of money saved, we can set up an equation based on their current savings and the amount they save per day.

Let \( d \) represent the number of days.

- Judy's amount after \( d \) days is given by her initial amount plus her daily savings:
\[
100 + 5d
\]

- Elenore's amount after \( d \) days is given by her initial amount plus her daily savings:
\[
75 + 7d
\]

To find out when they will have the same amount of money, we can set these two expressions equal to each other:
\[
100 + 5d = 75 + 7d
\]

This equation can be solved for \( d \) to find the number of days it takes for Judy and Elenore to have the same amount saved.