Yes, the equation "5d + 100 = 7d + 75" can be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved. By solving the equation, you can determine the value of 'd', which represents the number of days it will take for them to reach the same savings.
To solve the equation, we can start by subtracting 5d from both sides of the equation: 100 = 7d - 5d + 75.
This simplifies to: 100 = 2d + 75.
Subtracting 75 from both sides: 25 = 2d.
Dividing by 2: d = 12.5.
Therefore, it will take them 12.5 days or approximately 13 days to have the same amount of money saved.
To calculate how much money they each have after this time, we can substitute the value of 'd' into either of the original equations.
For Judy, the amount saved after 13 days would be 5 * 13 + 100 = $165.
For Elenore, the amount saved after 13 days would be 7 * 13 + 75 = $166.
Therefore, Judy would have $165 saved and Elenore would have $166 saved after 13 days.
Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points)
Would the equation "5d + 100 = 7d + 75" be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved?
After the number of days it took both to have the same amount of money saved, how much money do they have each?
1 answer
1 answer