Question

Elijah opened a checking account with​ $125 and deposits​ $25 into it every week. He opened another checking account with​ $225 and deposits​ $35 into it every week. Write a simplified expression to represent how much he will have in both accounts after w weeks.

Answer 1

The simplified expression representing Total amount in booth account is
`350+60w`.

Explanation:

Given:

Amount in account 1 = $125

Amount deposited every week in Account 1 = $25

Let number of weeks be'w'

So Total Amount in account 1 will be equal to Amount in account 1 plus Amount deposited every week in Account 1 multiplied by number of weeks.

framing in equation form we get;

Total Amount in account 1 =
`125+25w`

Now Given:

Amount in account 2 = $225

Amount deposited every week in Account 2 = $35

So Total Amount in account 2 will be equal to Amount in account 2 plus Amount deposited every week in Account 2 multiplied by number of weeks.

framing in equation form we get;

Total Amount in account 2 =
`225+35w`

We need to find the expression to represent Total amount in both accounts after w weeks.

Now Total Amount will be equal to sum of Total Amount in account 1 and Total Amount in account 2

Framing in equation form we get;

Total Amount =
`125+25w+225+35w`

On Simplifying we get;

Total Amount =
`350+60w`

Hence the simplified expression representing Total amount in booth account is
`350+60w`.