Given:
Teresa has $451 in a personal bank account,and then withdraws $10 per week.
Andrew has $10 in a personal bank account,and then deposits $53 each week.
To find:
After how many weeks will they have the same amount of money in the bank.
Solution:
Let x be the number of weeks after which they have the same amount.
Teresa has $451 in a personal bank account,and then withdraws $10 per week. So, the amount in Teresa's account is:
[tex]\text{Teresa's account}=451-10x[/tex]
Andrew has $10 in a personal bank account,and then deposits $53 each week. So, the amount in his account is:
[tex]\text{Andrew's account}=10+53x[/tex]
They have equal amount after x weeks. So,
[tex]451-10x=10+53x[/tex]
Isolate variable terms.
[tex]451-10=10x+53x[/tex]
[tex]441=63x[/tex]
Divide both sides by 63.
[tex]\dfrac{441}{63}=x[/tex]
[tex]7=x[/tex]
Therefore, they will have the same amount of money in the bank after 7 weeks.
