Final answer:
After making a $50 down payment on a $260 electric guitar, it will take Brandon 11 months of $20 payments to pay off the remaining balance completely.
Step-by-step explanation:
The question asks us to determine how many months it will take Brandon to pay off the balance of a $260 electric guitar after making a $50 down payment and planning to pay $20 per month thereafter. To solve this, we first calculate the remaining balance after the down payment which is $260 - $50 = $210. Next, we divide the remaining balance by the monthly payment amount: $210 รท $20 = 10.5. Since we cannot have a half month, it will take Brandon 11 months to completely pay off the guitar.