Judy has $100 and Elenore has $75. Judy is saving $5 per day and Elenore is saving $7 per day. (4 points)
After the number of days it took both to have the same amount of money saved, how much money do they have each?
will they have 175, 15, 325,162.50, 275
Let's calculate the number of days it will take for both to have the same amount of money saved.
Judy is saving $5 per day, so we can represent the amount of money she will have saved after d days as 5d.
Elenore is saving $7 per day, so we can represent the amount of money she will have saved after d days as 7d.
We want to find the value of d when 5d = 7d.
Subtract 5d from both sides: 0 = 2d
Divide both sides by 2: 0 = d
So it will take 0 days for them to have the same amount of money saved.
To find out how much money they will have each when they have the same amount saved, we substitute d = 0 into the expressions 5d and 7d.
Judy will have 5 * 0 = 0 dollars saved.
Elenore will have 7 * 0 = 0 dollars saved.
Therefore, they will have 0 dollars each when they have the same amount of money saved.
they can't be right
Apologies for the incorrect response. Let's recalculate.
Judy is saving $5 per day, so after d days, she will have saved 5d dollars.
Elenore is saving $7 per day, so after d days, she will have saved 7d dollars.
We want to find the value of d when 5d + 100 = 7d + 75. (Adding their initial amounts to the equation.)
Subtract 5d from both sides: 100 = 2d + 75
Subtract 75 from both sides: 25 = 2d
Divide both sides by 2: 12.5 = d
So it will take 12.5 days for both Judy and Elenore to have the same amount of money saved.
To find out how much money they will have each at this point, we substitute d = 12.5 into the expressions 5d and 7d.
Judy will have 5 * 12.5 = 62.5 dollars saved.
Elenore will have 7 * 12.5 = 87.5 dollars saved.
Therefore, Judy will have $62.5 and Elenore will have $87.5 when they have the same amount of money saved.