Question

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 off the total cost. 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.

Explanation:

Step1: Determine total cost before coupon

The cost per pair of socks is $4, and the number of pairs is \( p \), so the total cost before the coupon is \( 4p \).

Step2: Apply the coupon

He has a $5 off coupon, so the total cost after the coupon is \( 4p - 5 \).

Step3: Relate to gift card amount

The gift card is $25, so the total cost after coupon must be less than or equal to $25 (since he can't spend more than the gift card amount). So the inequality is \( 4p - 5 \leq 25 \).

Answer:

\( 4p - 5 \leq 25 \)