Answer :
Final answer:
The percentage discount on the boots is calculated by first finding the discount amount ($6.48) and then dividing it by the original price ($36.00), which gives us an 18% discount.
Explanation:
To calculate the percentage discount on the boots, we must first determine the amount of the discount. The discount is the difference between the original price and the sale price, which is $36.00 - $29.52 = $6.48.
Next, we calculate the percentage discount using the formula:
Percentage Discount = (Discount ÷ Original Price) × 100%
Substituting in our numbers:
Percentage Discount = ($6.48 ÷ $36.00) × 100%
Percentage Discount = 0.18 × 100%
Percentage Discount = 18%
So, Jeremiah received an 18% discount on the boots.
Remark
The key to this question is to get the original price (36) down to 29.52. In other words, what % will when multiplied by 36 will result in 29.52?
Solution
36 * (x/100) = 29.52 Multiply both sides by 100
36 * x = 29.52 * 100 The 100 on the left disappears.
36 * x = 2952 The decimal disappears. Divide by 36
x = 2952/36
x = 82%
That is not your answer. That just tells you what % of 36 is that would give 29.52
Answer
The % discount is 100 - 82 = 18%. That is the % discount.
