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Question 1 (1 point) For your birthday, you got a \( \$ 50 \) gift card to your favorite store. You use the gift card to buy a \( \$ 10 \) T-shirt and you want to buy as many \( \$ 5 \) pairs of shorts as possible with the rest. Which of these inequalities describes this situation, where \( p \) is the number of pairs of shorts you can buy?

Ask by Ayala Lawson. in the United States
Feb 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The inequality is \( 5p \leq 40 \), where \( p \) is the number of pairs of shorts you can buy.

Solution

You spent $10 on a T-shirt, leaving you with $50 - $10 = $40. Since each pair of shorts costs $5, you can only spend up to $40 on shorts. Therefore, the inequality is: 5p ≤ 40 where p represents the number of pairs of shorts you can buy.

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Mind Expander

After purchasing the T-shirt for \( \$ 10 \), you have \( 50 - 10 = 40 \) dollars remaining on your gift card. Since each pair of shorts costs \( \$ 5 \), the maximum number of pairs of shorts you can buy is represented by the inequality \( 5p \leq 40 \), or simplified, \( p \leq 8 \). This means you can buy at most 8 pairs of shorts with the remaining balance on your gift card. To illustrate your shopping adventure, imagine walking through the aisles, contemplating which cute shorts to pick for your upcoming summer outings. Just think: 5 bucks for a pair! After snagging those tees and shorts, you’ll have the perfect summer wardrobe. So don’t forget to check your pockets for any loose change that could snag you one more item!

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Algebra Mexico Feb 26, 2025
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