Question

ian has a loyalty card good for a discount at his local grocery store. the item he wants to buy is priced at $34, before discount and tax. after the discount, and before tax, the price is $30.60. find the percent discount.

Explanation:

Step1: Find the discount amount

The original price is $34, and the price after discount is $30.60. So the discount amount is the original price minus the discounted price.
$34 - 30.60 = 3.4$

Step2: Calculate the percent discount

The percent discount is calculated by dividing the discount amount by the original price and then multiplying by 100 to get the percentage.
Let $d$ be the percent discount (in decimal form). We know that the discounted price is the original price times $(1 - d)$. So:
$34(1 - d) = 30.60$
First, divide both sides by 34:
$1 - d = \frac{30.60}{34}$
$\frac{30.60}{34}= 0.9$
So $1 - d = 0.9$
Then, solve for $d$:
$d = 1 - 0.9 = 0.1$
To convert this decimal to a percentage, multiply by 100:
$0.1\times100 = 10\%$

Answer:

The percent discount is $10\%$