Question

Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. After how many weeks will Gina have exactly $700 in her account, excluding interest?

Answer 1

After 33 weeks.

Explanation:

Let w be number of weeks.

We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.

To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.

`20w+40=700`

Let us subtract 40 from both sides of equation.

`20w+40-40=700-40`

`20w=660`

Upon Dividing both sides of our equation by 20 we will get,

`(20w)/(20)=(660)/(20)`

`w=(660)/(20)`

`w=33`

Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.