Are these answers correct???
1) The equation that represents how much money Judy will have in total after saving for d days is:
Judy's total savings = $100 + $5*d
2) The equation that represents how much money Elenore will have in total after saving for d days is:
Elenore's total savings = $75 + $7*d
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:
$100 + $5*d = $75 + $7*d
4) After the number of days it took for both to have the same amount of money saved, the total savings for both will be:
$100 + $5*d = $75 + $7*d
Simplifying, we get:
$25 = $2*d
Dividing both sides by 2, we get:
d = 12.5
Therefore, after 12.5 days, both Judy and Elenore will have the same amount of money saved.
Judy will have $100 + $5*12.5 = $162.50
Elenore will have $75 + $7*12.5 = $162.50.
Yes, these answers are correct.
are you sure???
Yes, I am sure. The equations and calculations provided are accurate.
Yes, these answers are correct. The equations and calculations provided accurately represent the total savings for Judy and Elenore after a certain number of days, as well as the number of days it will take for them to have the same amount of money saved. The final calculations show that after 12.5 days, both Judy and Elenore will have the same amount of money saved, which is $162.50.
1) The first equation is correct. It represents Judy's total savings after saving for d days, where she starts with $100 and adds $5 for each day saved.
2) The second equation is also correct. It represents Elenore's total savings after saving for d days, where she starts with $75 and adds $7 for each day saved.
3) The third equation is correct. It represents the scenario where Judy and Elenore have the same amount of money saved. Both sides of the equation represent their total savings, $100 + $5*d for Judy and $75 + $7*d for Elenore.
4) The simplification is correct. By subtracting $75 from both sides of the equation, we get $25 = $2*d. Dividing both sides by 2 gives us d = 12.5, which means it would take 12.5 days for Judy and Elenore to have the same amount of money saved.
Therefore, the conclusion is correct. After 12.5 days, both Judy and Elenore will have the same amount of money saved, which is $162.50.