Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day.
1 What equation represent how much money Judy will have in total after saving for d days?
2 What equation represents how much money Elenore 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 Elenore 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 have each?
1. The equation representing how much money Judy will have in total after saving for d days is:
Judy's total money = $100 + ($5 × d)
2. The equation representing how much money Elenore will have in total after saving for d days is:
Elenore's total money = $75 + ($7 × d)
3. The equation that would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:
$100 + ($5 × d) = $75 + ($7 × d)
4. After the number of days it took both to have the same amount of money saved, they will have the same amount of money.
1) The equation representing how much money Judy will have in total after saving for d days is:
Judy's Money = $100 + ($5 * d)
2) The equation representing how much money Elenore will have in total after saving for d days is:
Elenore's Money = $75 + ($7 * d)
3) 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 Judy's Money equal to Elenore's Money and solve for d:
$100 + ($5 * d) = $75 + ($7 * d)
4) After the number of days it took for both Judy and Elenore to have the same amount of money saved (which we found by solving the equation in question 3), we can substitute the value of d back into either Judy's or Elenore's money equation to determine how much money they each have.
1) The equation that represents how much money Judy will have in total after saving for d days is:
Judy's total savings = $100 + ($5 per day) * d
2) The equation that represents how much money Elenore will have in total after saving for d days is:
Elenore's total savings = $75 + ($7 per day) * d
3) The equation that would be used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is:
Judy's total savings = Elenore's total savings
$100 + ($5 per day) * d = $75 + ($7 per day) * d
4) To find out how much money Judy and Elenore have each after the number of days it took both to have the same amount of money saved, simply substitute the value of d (the number of days) into the equations from steps 1 and 2. Plug in the value of d that satisfies the equation from step 3 and calculate their savings accordingly.