Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points)
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 savings = $100 + $5 * d
2. The equation representing how much money Elenore will have in total after saving for d days is:
Elenore's total savings = $75 + $7 * d
3. The equation 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 each have:
$100 + $5 * d = $75 + $7 * d = [common amount of money saved]
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 each have:
Judy's money = $100 + ($5 × d)
Elenore's money = $75 + ($7 × d)
1. To find out how much money Judy will have in total after saving for d days, we can use the equation: Judy's initial money + (Judy's daily savings * number of days) = Judy's total money after d days.
The initial amount Judy has is $100, and she saves $5 per day. So, the equation representing the total money Judy will have after saving for d days becomes:
Total Judy's money after d days = $100 + ($5 * d)
2. Similarly, to find out how much money Elenore will have in total after saving for d days, we can use the equation: Elenore's initial money + (Elenore's daily savings * number of days) = Elenore's total money after d days.
The initial amount Elenore has is $75, and she saves $7 per day. So, the equation representing the total money Elenore will have after saving for d days becomes:
Total Elenore's money after d days = $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 can set their total money equations equal to each other and solve for d.
Setting Judy's equation equal to Elenore's equation:
$100 + ($5 * d) = $75 + ($7 * d)
4. After solving the equation from step 3, we can substitute the value of d back into either Judy's or Elenore's total money equation to find out how much money they each have.