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?
1 Respond area:
y = 7d + 100
y = 5d + 100
y = 5d + 75
y = 100d + 5
y = 100d + 75
y = 7d + 75
y = 75d + 7
What equation represents how much money Elenore will have in total after saving for d days?
2 Responds area :
y = 100d + 75
y = 5d + 100
y = 100d + 5
y = 75d + 7
y = 5d + 75
y = 7d + 75
y = 7d + 100
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?
3 Responds area :
100d + 5 = 75d + 7
5d + 100 = 7d + 75
7d + 5d = 100 + 75
After the number of days it took both to have the same amount of money saved, how much money do they have each?
Respond area:
$325
$275
$15
$175
$162.50
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The correct answers are:
1. The equation that represents how much money Judy will have in total after saving for d days is:
y = 5d + 100
2. The equation that represents how much money Elenore will have in total after saving for d days is:
y = 7d + 75
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:
5d + 100 = 7d + 75
4. After the number of days it took for both to have the same amount of money saved, they will each have:
$162.50
The equation used to find out how many days it will take for Judy and Elenore to have the same amount of money saved is 100d + 5 = 75d + 7.
After the number of days it took both to have the same amount of money saved, they will each have $162.50.
where's the rest of the answer??
Apologies for the incomplete response. Here is the rest of the answer:
To find out how many days it will take for Judy and Elenore to have the same amount of money saved, we can set up the equation 100d + 5 = 75d + 7. This equation represents the total amount of money each person will have after saving for d days.
To solve this equation, we can subtract 75d from both sides and add 2 to both sides:
100d - 75d + 5 = 75d - 75d + 7 - 75d + 2
25d + 5 = 2
Subtracting 5 from both sides gives:
25d = -3
Dividing both sides by 25 gives:
d = -3/25
Since the number of days cannot be negative, we can ignore this solution and conclude that there is no number of days for Judy and Elenore to have the same amount of money saved.
Therefore, they will not have the same amount of money saved after any number of days.
Apologies for the mistake in my previous response.
To find the equation that represents how much money Judy will have in total after saving for d days, we know that Judy is saving $5 per day and she initially has $100. Since she saves $5 per day, we can multiply the number of days (d) by 5 and add it to her initial amount of $100. So the equation is y = 5d + 100.
To find the equation that represents how much money Elenore will have in total after saving for d days, we know that Elenore is saving $7 per day and she initially has $75. Similar to Judy, we can multiply the number of days (d) by 7 and add it to her initial amount of $75. So the equation is y = 7d + 75.
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 their equations equal to each other. So we have 5d + 100 = 7d + 75.
To solve for the number of days, we'll subtract 5d from both sides of the equation to get 100 = 2d + 75. Then, we subtract 75 from both sides to get 25 = 2d. Finally, we divide both sides by 2 to get d = 12.5.
After 12.5 days, they will have the same amount of money saved. To find out how much money they each have at that point, we can substitute d = 12.5 into either Judy's or Elenore's equation. Let's use Judy's equation: y = 5(12.5) + 100. This simplifies to y = 62.5 + 100, which gives us y = 162.5.
Therefore, after 12.5 days, Judy and Elenore will each have $162.50 saved.