14. Multistep A clothing store has the sign shown in the snop wind Pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. The cost of each shirt before the discount is 512 , and the cost of each pair of jeans is \( \$ 19 \) before the discount. a. Write and evaluate an expression to find the amount Pani pays if a \( \$ 3 \) discount is applied to her total. b. Pani says she should get a \( \$ 3 \) discount on the price of each shirt and a \( \$ 3 \) discount on the price of each pair of jeans. Write and evaluate an expression to find the amount she would pay if this is true. c. Analyze Relationships Why are the amounts Pani pays in a and b different?

Given: - The cost of each shirt before the discount is $512. - The cost of each pair of jeans before the discount is $19. - Pani wants to buy 3 shirts and 2 pairs of jeans. a. To find the amount Pani pays if a $3 discount is applied to her total: - Cost of 3 shirts before discount = 3 * $512 = $1536 - Cost of 2 pairs of jeans before discount = 2 * $19 = $38 - Total cost before discount = $1536 + $38 = $1574 - Discount applied = $3 - Amount Pani pays = Total cost before discount - Discount applied = $1574 - $3 = $1571 b. To find the amount Pani would pay if she gets a $3 discount on the price of each shirt and a $3 discount on the price of each pair of jeans: - Cost of 3 shirts with $3 discount each = 3 * ($512 - $3) = 3 * $509 = $1527 - Cost of 2 pairs of jeans with $3 discount each = 2 * ($19 - $3) = 2 * $16 = $32 - Total cost with discounts = $1527 + $32 = $1559 c. The amounts Pani pays in a and b are different because in a, the discount is applied to the total cost before the discounts, while in b, the discount is applied to the cost of each item before the discounts. This results in a different final amount paid by Pani.