Omar has a $25 gift card for a clothing store …

Mathematics Questions
Short Answer
Step by Step Solution
Mathematics Questions

Omar has a gift card for $25 at a clothing store. He wants to buy socks that cost $4 per pair. He also has a coupon for $5 his entire purchase. Omar wants to know how many pairs of socks he can buy. Let p be the number of pairs of socks Omar buys. Write an inequality that represents the situation.

Short Answer

To determine how many pairs of socks Omar can buy, set up the inequality 4p Р5 ‚a§ 25 based on his budget and the cost per pair. Solving this inequality, he can buy a maximum of 7 pairs of socks.

Step-by-Step Solution

Step 1: Set Up the Inequality

Start by establishing the relationship between the number of pairs of socks Omar can buy and his budget. Given that each pair of socks costs $4, the total cost will be 4p, where p is the number of pairs. Since he has a $5 coupon, the equation becomes 4p – 5 which should be less than or equal to the total amount he has, which is $25.

Step 2: Formulate the Complete Inequality

Now, write down the complete inequality based on the previous information. This translates to the following: 4p Р5 ‚a§ 25. This represents the maximum expenditure Omar can make for the socks after applying the coupon. The next step is to solve for p.

Step 3: Solve for the Number of Pairs of Socks

To find out how many pairs of socks p Omar can buy, solve the inequality 4p Р5 ‚a§ 25. First, add 5 to both sides yielding 4p ‚a§ 30. Then, divide both sides by 4, giving you p ‚a§ 7.5. Since Omar can only buy whole pairs, he can buy a maximum of 7 pairs of socks.

Related Concepts

Inequality

A mathematical expression that shows the relationship between two quantities that are not necessarily equal, often using symbols like ‚a§, <, ‚a•, or > to indicate the nature of the relationship.

Expenditure

The total amount of money spent or budgeted for a specific purpose, in this case referring to the cost of purchasing pairs of socks.

Coupon

A voucher that provides a discount on the purchase price of a product, which in this scenario reduces the overall cost of the socks purchased by omar.

Table Of Contents
  1. Omar has a gift card for $25 at a clothing store. He wants to buy socks that cost $4 per pair. He also has a coupon for $5 his entire purchase. Omar wants to know how many pairs of socks he can buy. Let p be the number of pairs of socks Omar buys. Write an inequality that represents the situation.

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