Sara opened an account with $800 and withdrew $20 per week. Jordan opened an account with $500 and d

[math_celebrity]

Sara opened an account with $800 and withdrew $20 per week. Jordan opened an account with $500 and deposited $30 per week. In how many weeks will their account be equal?

Each week, Sara's account value is:
800 - 20w <-- Subtract because Sara withdraws money each week

Each week, Jordan's account value is:
500 + 30w <-- Add because Jordan deposits money each week

Set them equal to each other:
800 - 20w = 500 + 30w

Using our equation solver, we get w = 6.

Check our work:
800 - 20(6)
800 - 120
680

500 + 30(6)
500 + 180
680