If a patient has a frame costing $200 and an allowance of $100, with a 20% discount on the remaining balance, how much do they pay?

If a patient has a frame costing $200 and an allowance of $100, with a 20% discount on the remaining balance, how much do they pay?

• A. $60
• B. $80
• C. $100
• D. $120

Answer: (B)

To determine how much the patient pays, we first calculate the amount that is not covered by the allowance. The total cost of the frame is $200, and the allowance is $100. Subtracting the allowance from the total cost gives us the balance that needs to be covered by the patient: $200 - $100 = $100 Next, the patient receives a 20% discount on this remaining balance of $100. To find the amount of the discount, we calculate: 20% of $100 = 0.20 × 100 = $20 Now, we subtract the discount from the remaining balance: $100 - $20 = $80 Therefore, after applying the allowance and the discount, the patient ends up paying $80. This is why the correct answer is $80.

To determine how much the patient pays, we first calculate the amount that is not covered by the allowance. The total cost of the frame is $200, and the allowance is $100.

Subtracting the allowance from the total cost gives us the balance that needs to be covered by the patient:

$200 - $100 = $100

Next, the patient receives a 20% discount on this remaining balance of $100. To find the amount of the discount, we calculate:

20% of $100 = 0.20 × 100 = $20

Now, we subtract the discount from the remaining balance:

$100 - $20 = $80

Therefore, after applying the allowance and the discount, the patient ends up paying $80. This is why the correct answer is $80.