To determine how many days it will take for Judy and Elenore to have the same amount of money saved, you can set up the following equations:
Let \( d \) represent the number of days.
For Judy:
- Starting amount: $100
- Amount saved per day: $5
- Total amount after \( d \) days: \( 100 + 5d \)
For Elenore:
- Starting amount: $75
- Amount saved per day: $7
- Total amount after \( d \) days: \( 75 + 7d \)
Now, to find the number of days when their total amounts will be equal, you set the two equations equal to each other:
\[ 100 + 5d = 75 + 7d \]
This equation can be solved for \( d \) to find out how many days it will take for Judy and Elenore to have the same amount of money saved.
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