Question

Angelo recently opened a bank account and deposits the same amount each week.after 8weekshe deposits280he wants to deposit atotalof420dollarsinhisaccount how many weeks will it take Angelo to deposit a total of $420

Answer 1

Data:

after 8 weeks he deposits 280 (the same amount each week)

Then, in a week he deposits: $35

`(280)/(8)=35`

If you write an equation for y (total amount in the account) in terms of x (number of weeks you have the next:

`y=35x`

To find the number of weeks that will take to Anglelo to deposit 420 in total you substitute in the equation the y for 420 and solve the equation for x:

`\begin{gathered} 420=35x \\ \\ x=(420)/(35) \\ \\ x=12 \end{gathered}`Then, Angelo will deposit in his account $420 in a total of 12 weeks (included the first 8 weeks when he deposits $280)