Q:

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 each month for his cell phone bill. He also writes a check for $20 each month for his water bill. After how many months will Edy and Juan have the same amount of money in their accounts?

Accepted Solution

A:
Answer: 5 Months
Step-by-step explanation:$450 + $40x = $975-$45x-$20x  (combine like terms)450 + 40x = 975 - 65x (perform inverse operations to get only the variable on one side, what is done to one side must be done to the other)450 + 40x + 65x = 975 - 65x + 65x450 - 450 + 105x = 975 - 450105x = 525 (divide both sides by 105)x=5