Edy has $450 in her savings account. She deposits $40 each month. Juan has $975 in his checking account. He writes a check for $45.45 each month
for his cell phone bill. He also writes a check for $19.55 each month for
his water bill. After how many months will Edy and Juan have the same
amount of money in their accounts?

9514 1404 393

  5 months

Step-by-step explanation:

Edy's account balance after n months is ...

  450 +40n

Juan's account balance after n months is ...

  975 -n(45.45 +19.55) = 975 -65n

These balances are the same when ...

  450 +40n = 975 -65n

  105n = 525 . . . . . . . . add 65n-450

  n = 5 . . . . . . . . . . divide by 105

Edy and Juan will ave the same amount after 5 months.