crystal has $350 in her savings account and is depositing and additional $25 each week. hector has $1,250 in his savings account and is withdrawing $50 each week. after how many weeks will their bank account balances be the same?

Respuesta :

A balance of $650 will be in Crystal's and Hector's account in 12 weeks

Given,

The initial amount in Crystal's savings account = $350

The initial amount in Hector's savings account = $1250

Crystal deposits $25 in every week

Hector withdraws $50 every week.

We have to find in how many weeks both of their account balance became same;

Here,

                                 Crystal                                 Hector

Initial balance;        $350                                    $1250

1st week ;                 $350 + $25 = $375             $1250 - $50 = $1200

2nd week ;               $375 + $25 = $400             $1200 - $50 = $1150

3rd week ;                $400 + $25 = $425             $1150 - $50 = $1100

4th week ;                $425 + $25 = $450             $1100 - $50 = $1050

5th week ;                $450 + $25 = $475             $1050 - $50 = $1000

6th week ;                $475 + $25 = $500             $1000 - $50 = $950

7th week ;                $500 + $25 = $525             $950 - $50 = $900

8th week ;                $525 + $25 = $550             $900 - $50 = $850

9th week ;                $550 + $25 = $575             $850 - $50 = $800

10th week ;               $575 + $25 = $600             $800 - $50 = $750

11th week ;                $600 + $25 = $625             $750 - $50 = $700

12th week ;               $625 + $25 = $650             $700 - $50 = $650

That is,

In 12 weeks both of Crystal's and Hector's account will have a balance of $650

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