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?
use a WHOLE number too awnser
Let's assume it took x days for Judy and Elenore to have the same amount of money saved.
Judy saves $5 per day, so after x days, Judy will have saved 5x dollars.
Elenore saves $7 per day, so after x days, Elenore will have saved 7x dollars.
Since they have the same amount of money saved:
5x = 7x - this is equation (1)
We can rearrange equation (1) to solve for x:
7x - 5x = 0
2x = 0
x = 0
Therefore, it took 0 days for Judy and Elenore to have the same amount of money saved.
After 0 days, Judy will have $100 saved.
After 0 days, Elenore will have $75 saved.
So, Judy has $100 and Elenore has $75.
To determine how many days it will take for Judy and Elenore to have the same amount of money saved, we can set up an equation to represent their savings:
Judy's savings = $100 + ($5 * number of days)
Elenore's savings = $75 + ($7 * number of days)
Setting these two equations equal to each other, we can find the number of days:
$100 + ($5 * number of days) = $75 + ($7 * number of days)
Now, let's solve for the number of days.
To find out how many days it took for Judy and Elenore to have the same amount of money saved, we can set up an equation using the information given.
Let's assume it took 'x' days for them to have the same amount of money saved.
During these 'x' days, Judy would have saved $5 * x, and Elenore would have saved $7 * x.
We need to find the value of 'x' when their savings are equal. So, we can set up the equation:
$100 + ($5 * x) = $75 + ($7 * x)
Simplifying the equation, we get:
$100 + $5x = $75 + $7x
Now we can solve for 'x':
$5x - $7x = $75 - $100
- $2x = - $25
Dividing both sides of the equation by -2, we get:
x = 12.5
Since it is not possible to have a fraction of a day, we need to round up to the next whole number.
Therefore, it took 13 days for Judy and Elenore to have the same amount of money saved.
Now, let's calculate how much money they have each after 13 days:
Judy's savings: $100 + ($5 * 13) = $100 + $65 = $165
Elenore's savings: $75 + ($7 * 13) = $75 + $91 = $166
So, after 13 days, Judy has $165, and Elenore has $166.