Elenore will have a total of $75 plus the amount she saves per day ($7) multiplied by the number of days (d).
The equation that represents this is:
Total amount = 75 + (7*d)
Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day.
What equation represents how much money Elenore will have in total after saving for d days?
3 answers
Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day.
After the number of days it took both to have the same amount of money saved, how much money do they have each?
After the number of days it took both to have the same amount of money saved, how much money do they have each?
To find out the number of days it took for Judy and Elenore to have the same amount of money saved, let's set up an equation:
100 + 5d = 75 + 7d
Subtracting 75 from both sides gives:
100 + 5d - 75 = 7d
Combining like terms gives:
25 + 5d = 7d
Subtracting 5d from both sides gives:
25 = 2d
Finally, dividing both sides by 2 gives:
d = 12.5
Therefore, it took Judy and Elenore approximately 12.5 days to have the same amount of money saved.
Now, let's calculate how much money each of them has after these 12.5 days:
Judy's total amount = $100 + ($5 * 12.5) = $100 + $62.5 = $162.5
Elenore's total amount = $75 + ($7 * 12.5) = $75 + $87.5 = $162.5
Therefore, after these 12.5 days, both Judy and Elenore will have $162.5 saved.
100 + 5d = 75 + 7d
Subtracting 75 from both sides gives:
100 + 5d - 75 = 7d
Combining like terms gives:
25 + 5d = 7d
Subtracting 5d from both sides gives:
25 = 2d
Finally, dividing both sides by 2 gives:
d = 12.5
Therefore, it took Judy and Elenore approximately 12.5 days to have the same amount of money saved.
Now, let's calculate how much money each of them has after these 12.5 days:
Judy's total amount = $100 + ($5 * 12.5) = $100 + $62.5 = $162.5
Elenore's total amount = $75 + ($7 * 12.5) = $75 + $87.5 = $162.5
Therefore, after these 12.5 days, both Judy and Elenore will have $162.5 saved.