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

After the number of days it took both to have the same amount of money saved, how much money do they have each?

use a WHOLE number too awnser

1 answer

Let's assume it took x days for Judy and Elenore to have the same amount of money saved.

Judy saves $5 per day, so after x days, Judy will have saved 5x dollars.
Elenore saves $7 per day, so after x days, Elenore will have saved 7x dollars.

Since they have the same amount of money saved:
5x = 7x - this is equation (1)

We can rearrange equation (1) to solve for x:
7x - 5x = 0
2x = 0
x = 0

Therefore, it took 0 days for Judy and Elenore to have the same amount of money saved.

After 0 days, Judy will have $100 saved.
After 0 days, Elenore will have $75 saved.

So, Judy has $100 and Elenore has $75.