Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points)
What equation would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved?
Let's denote the number of days it will take for Judy and Elenore to have the same amount of money saved as "d."
The amount of money Judy will have saved after "d" days can be represented as 100 + 5d.
Similarly, the amount of money Elenore will have saved after "d" days can be represented as 75 + 7d.
To find out how many days it will take for them to have the same amount of money saved, we need to solve the equation:
100 + 5d = 75 + 7d
To find out how many days it will take for Judy and Elenore to have the same amount of money saved, we need to set up an equation based on their savings per day.
Judy is saving $5 per day, so the amount of money she will have saved after 'd' days can be represented as 5d.
Elenore is saving $7 per day, so the amount of money she will have saved after 'd' days can be represented as 7d.
Since we want to find out when they will have the same amount of money saved, we can set the two equations equal to each other:
5d = 7d
Now we can solve for 'd' to find the number of days it will take for Judy and Elenore to have the same amount of money saved.
To find out how many days it will take for Judy and Elenore to have the same amount of money saved, the equation can be set up as:
100 + 5d = 75 + 7d
Where:
- d represents the number of days it takes for both Judy and Elenore to have the same amount of money saved.
- 100 represents the initial amount of money Judy has.
- 5d represents the amount of money Judy saves each day, given by multiplying $5 by the number of days.
- 75 represents the initial amount of money Elenore has.
- 7d represents the amount of money Elenore saves each day, given by multiplying $7 by the number of days.
By equating the total saved money for both Judy and Elenore, the equation can be solved for 'd'.