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 that represents how much money Judy will have in total after saving for d days is: J(d) = 100 + 5d, where J(d) is the total amount of money Judy will have after saving for d days.
2. The equation that represents how much money Elenore will have in total after saving for d days is: E(d) = 75 + 7d, where E(d) is the total amount of money Elenore will have after saving for d days.
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 + 5d = 75 + 7d.
4. After the number of days it took both to have the same amount of money saved, they would each have the same amount of money, which can be found by substituting the value of d from the equation above into Judy's equation or Elenore's equation.
1. The equation representing how much money Judy will have in total after saving for d days is:
Total savings for Judy = 100 + 5d
2. The equation representing how much money Elenore will have in total after saving for d days is:
Total savings for Elenore = 75 + 7d
3. 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 + 5d = 75 + 7d
4. After the number of days it took for both Judy and Elenore to have the same amount of money saved, the equation can be used to find the value of d. Once we have the value of d, we can substitute it into either of the equations from step 1 or step 2 to find out how much money each of them has.
How much money do they each have, $15, $325, $275, $162.50, or $175
To determine how much money Judy and Elenore have after the same number of days, we need to solve the equation: 100 + 5d = 75 + 7d
Subtracting 5d from both sides, we get: 100 = 75 + 2d
Subtracting 75 from both sides, we get: 25 = 2d
Dividing both sides by 2, we get: d = 12.5
Therefore, after 12.5 days, Judy and Elenore will have the same amount of money.
Now, we can substitute this value into either Judy's equation or Elenore's equation to find out how much money they each have.
Plugging d = 12.5 into Judy's equation: J(12.5) = 100 + 5(12.5) = 100 + 62.5 = $162.50
Plugging d = 12.5 into Elenore's equation: E(12.5) = 75 + 7(12.5) = 75 + 87.5 = $162.50
Therefore, after 12.5 days, Judy and Elenore will each have $162.50 saved.
1. To find the total amount of money Judy will have after saving for d days, we need to multiply the number of days (d) by the amount of money she saves per day ($5). Thus, the equation is: Total money Judy will have = $100 + ($5 × d).
2. Similarly, to find the total amount of money Elenore will have after saving for d days, we need to multiply the number of days (d) by the amount of money she saves per day ($7). So, the equation is: Total money Elenore will have = $75 + ($7 × d).
3. 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 total savings equal to each other. So the equation would be: $100 + ($5 × d) = $75 + ($7 × d). We can now solve this equation for d.
4. After determining the number of days it took both Judy and Elenore to have the same amount of money saved, we can substitute that value of d back into either equation from 1 or 2 to find out how much money both of them have. Plug in the value of d into the equation to calculate the money they have.