What equation represent how much money Judy will have in total after saving for d days? y = 75d + 7 What equation represents how much money Elenore will have in total after saving for d days? y = 7d + 75 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? 7d + 5d = 100 + 75 After the number of days it took both to have the same amount of money saved, how much money do they have each? $15
To find out the equation that represents how many days it will take for Judy and Elenore to have the same amount of money saved, you would set their equations equal to each other:
75d + 7 = 7d + 75
To solve for d, you would subtract 7d from both sides:
68d + 7 = 75
Then subtract 7 from both sides:
68d = 68
Thus, d = 1.
After 1 day, Judy and Elenore will have the same amount of money saved.
To find out how much money they have each after this day, you would substitute d = 1 into either of the original equations:
For Judy: y = 75(1) + 7 = 75 + 7 = $82
For Elenore: y = 7(1) + 75 = 7 + 75 = $82
Therefore, after the day it took for them to have the same amount of money saved, both Judy and Elenore will have $82 each.
To find how many days it will take for Judy and Elenore to have the same amount of money saved, we can set their equations equal to each other:
75d + 7 = 7d + 75
Simplifying the equation:
75d - 7d = 75 - 7
68d = 68
Dividing both sides by 68:
d = 1
So, it will take 1 day for Judy and Elenore to have the same amount of money saved.
After this day, they will have:
Judy: y = 75(1) + 7 = $82
Elenore: y = 7(1) + 75 = $82
Therefore, after the number of days it took for both to have the same amount of money saved, they will each have $82.
To find the equation that represents how many days it will take for Judy and Elenore to have the same amount of money saved, we can set their savings equations equal to each other:
75d + 7 = 7d + 75
To solve for d, we need to isolate the variable on one side of the equation. Let's simplify the equation:
75d - 7d = 75 - 7
This gives us:
68d = 68
Now we can solve for d by dividing both sides of the equation by 68:
d = 1
So it will take 1 day for Judy and Elenore to have the same amount of money saved.
Now, to calculate the amount of money they have each after that day, we can substitute d = 1 back into either of the original equations.
Using Judy's equation: y = 75(1) + 7 = 75 + 7 = 82
Using Elenore's equation: y = 7(1) + 75 = 7 + 75 = 82
Therefore, after the number of days required for them to have the same amount of money saved, Judy and Elenore will both have $82.