Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points) What equation represent how much money Judy will have in total after saving for d days? What equation represents how much money Elenore will have in total after saving for d days? 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? After the number of days it took both to have the same amount of money saved, how much money do they have each? simple answer
The equation that represents how much money Judy will have in total after saving for d days is:
Judy's Money = $100 + ($5 * d)
The equation that represents how much money Elenore will have in total after saving for d days is:
Elenore's Money = $75 + ($7 * d)
The equation that can 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)
To find out how much money they have each after the number of days it took for them to have the same amount of money saved, you would substitute the value of d into one of the initial equations.
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 × 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 × 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
4) To find the answer, we can equate the two equations from step 1 and step 2:
$100 + ($5 × d) = $75 + ($7 × d)
Simplifying the equation:
$100 - $75 = ($7 × d) - ($5 × d)
$25 = $2 × d
Dividing both sides by $2:
$25 / $2 = d
d = 12.5
Since the number of days cannot be decimal, we round it up to the nearest whole number. Therefore, it will take 13 days for Judy and Elenore to have the same amount of money saved.
After 13 days, Judy will have $100 + ($5 × 13) = $100 + $65 = $165.
After 13 days, Elenore will have $75 + ($7 × 13) = $75 + $91 = $166.
To answer these questions, we need to break them down step by step.
1. Equation representing how much money Judy will have in total after saving for d days:
Judy is saving $5 per day, so after d days she would have saved a total of 5d dollars. Therefore, the equation would be:
Judy's Savings = $100 + ($5 * d) = 100 + 5d.
2. Equation representing how much money Elenore will have in total after saving for d days:
Elenore is saving $7 per day, so after d days she would have saved a total of 7d dollars. Therefore, the equation would be:
Elenore's Savings = $75 + ($7 * d) = 75 + 7d.
3. Equation to find out how many days it will take for Judy and Elenore to have the same amount of money saved:
To find the number of days it will take for Judy and Elenore to have the same amount of money saved, we need to set their savings equal to each other and solve for d. The equation would be:
100 + 5d = 75 + 7d.
4. After the number of days it took both to have the same amount of money saved, how much money do they each have?
To find out how much money they have each after the number of days it took for them to have the same amount of money saved, we can substitute the value of d into either Judy's or Elenore's equation. Let's use Judy's equation:
Judy's Savings = 100 + 5d.
Substitute the value of d found in step 3 into the equation to get:
Judy's Savings = 100 + 5 * (value of d).
Similarly, substitute the same value of d into Elenore's equation to find:
Elenore's Savings = 75 + 7 * (value of d).
Please note that the exact value of d is required to calculate the precise amount of money they have each.