The equation representing how much money Judy will have in total after saving for d days is:
Judy's total money = $100 + $5 * d
The equation representing how much money Elenore will have in total after saving for d days is:
Elenore's total money = $75 + $7 * d
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:
$100 + $5 * d = $75 + $7 * d
To solve this equation and find the number of days it will take for Judy and Elenore to have the same amount of money saved, we can rearrange the equation to isolate d:
$5 * d - $7 * d = $75 - $100
-$2 * d = -$25
d = 12.5
Since it is not possible to have half days, we can round up to the nearest whole number, which means it will take 13 days for them to have the same amount of money saved.
After 13 days, both Judy and Elenore will have the same amount of money saved. To find out how much money they each have, we can substitute the value of d into one of the original equations. Let's use Judy's equation:
Judy's total money = $100 + $5 * 13
Judy's total money = $100 + $65
Judy's total money = $165
Therefore, Judy and Elenore will each have $165 saved after 13 days.
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?
1 answer
1 answer