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

Question

1.What equation represents how much money Judy will have in total after saving for d days?
2.What equation represents how much money Elenor will have in total after saving for d days?
3. What equation would be used to find out how many days it will take for Judy and Elenor to have the same amount of money saved?
4. After the number of days it took both to have the same amount of money saved how much money do they each have?

Answer 1

1. The equation representing how much money Judy will have in total after saving for d days is:
y = 100 + 5d

2. The equation representing how much money Elenor will have in total after saving for d days is:
y = 75 + 7d

3. The equation to find out how many days it will take for Judy and Elenor to have the same amount of money saved is:
100 + 5d = 75 + 7d

4. After the number of days it took both to have the same amount of money saved, the amount of money they each have can be found by substituting the number of days into the equations:
Judy: y = 100 + 5d
Elenor: y = 75 + 7d

Answer 2

for number 4 it’s not an equation it’s just a number please read question 4 again

Answer 3

Apologies for the confusion. To find the amount of money each person has after they have the same amount of money saved:

After the number of days it took both to have the same amount of money saved, the amount of money they each have can be found by substituting the number of days into their respective equations:

Judy: y = 100 + 5d
Elenor: y = 75 + 7d

If we solve the equation from step 3 to find the number of days it took for Judy and Elenor to have the same amount of money saved, we can substitute that value into their equations to find the amount of money they each have.