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IG IDEAS MATH Soterios Diamond \#51 i Check Skills Review Listen A soccer team receives a discount on each jersey purchased. The original price of each jersey is \( x \) dollars. The team buys 18 jerseys for a total of \( (18 x-36) \) dollars. What can you conclude about the discount? B U \( \mathrm{T}^{2} \) \( T_{2} \) \( 0 / 100 \)

Ask by Delgado Hobbs. in the United States
Feb 26,2025

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The team gets a $2 discount on each jersey.

Solución

Let d be the discount per jersey. The discounted price of each jersey is then (x – d) dollars. Since the team buys 18 jerseys, the total amount paid is 18(x – d). According to the problem, the total paid is 18x – 36 dollars. Setting these equal gives:   18(x – d) = 18x – 36 Expanding the left-hand side:   18x – 18d = 18x – 36 Subtract 18x from each side:   –18d = –36 Dividing both sides by –18:   d = 2 Thus, the team receives a $2 discount on each jersey.

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Mind Expander

The team originally was set to pay \( 18x \) for the jerseys, but they end up paying only \( 18x - 36 \). This clearly indicates that they received a discount of \( 36 \) dollars overall, which translates to a saving of \( 2 \) dollars per jersey. So, each jersey was discounted, making them more affordable for the team! When purchasing items in bulk, it’s essential to note that retailers often provide discounts for teams, schools, or clubs. This purchase would have easily fallen under that category. Always check if there are group rates or promotional offers before making a purchase, as you might just end up saving that extra cash for post-game snacks!

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