A clothing store has the sign shown in the shop window. Pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. The cost of each shirt before the discount is $12 and the cost of each pair of jeans is $19 before the discount. Question 1. Pani says she should get a $3 discount on the price of each shirt and a $3 discount on each pair of jeans. Write and simplify an expression to find the amount she would pay if this was true. Part 2. Why are the amounts Pani pays in A, which is $71 and b different? Part 3 if you were the shop owner, how would you change the sign? Explain thx

Question

A clothing store has the sign shown in the shop window. Pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. The cost of each shirt before the discount is $12 and the cost of each pair of jeans is $19 before the discount. Question 1. Pani says she should get a $3 discount on the price of each shirt and a $3 discount on each pair of jeans. Write and simplify an expression to find the amount she would pay if this was true. Part 2. Why are the amounts Pani pays in A, which is $71 and b different? Part 3 if you were the shop owner, how would you change the sign? Explain thx

Answer 1

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Answer 2

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Answer 3

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Answer 4

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Answer 5

Part 1:

To calculate the amount Pani would pay if she gets a $3 discount on each shirt and a $3 discount on each pair of jeans, we need to consider the original prices of shirts and jeans.

The original price of each shirt is $12, and if Pani gets a $3 discount, she would pay $12 - $3 = $9 for each shirt.

Similarly, the original price of each pair of jeans is $19, and if Pani gets a $3 discount, she would pay $19 - $3 = $16 for each pair of jeans.

Since Pani wants to buy 3 shirts and 2 pairs of jeans, the total amount she would pay can be calculated as follows:

3 shirts * $9 per shirt + 2 jeans * $16 per jean = $27 + $32 = $59.

Therefore, if Pani gets a $3 discount on each shirt and each pair of jeans, she would pay a total of $59.

Part 2:
The amounts Pani pays in option A, which is $71, and option B would be different because the given discount in option A is not consistent with the amounts mentioned earlier. In option A, it seems that Pani gets a $3 discount on the total purchase, rather than on each individual shirt or pair of jeans. This results in a higher total amount as compared to the true discounts calculated in part 1.

Part 3:
If I were the shop owner, I would change the sign to ensure clarity and avoid any confusion. I would modify the sign to specify the discounts correctly—for example:

"Shirts: $12 each, get $3 off per shirt."
"Jeans: $19 per pair, get $3 off per pair."

By providing clear instructions indicating that the discounts apply to each item rather than the total purchase, customers like Pani would have a better understanding of the pricing and would not be misled into expecting a different total amount.

Answer 6

1. Shirts:

A = (12-3)x = 9x
x = The number of shirts bought.

Jeans:
A = (19-3)x = 16x