Question

For her birthday, Samantha received a gift card, with a value of $200, to a department store. She wants to purchase at least 5 articles of clothing for work. At the store, sweaters cost $24.49 each and dress pants cost $36.99 each. If Samantha does not spend more than the amount on the gift card, which system of inequalities could be used to determine the number of sweaters, s, and the number of dress pants, p, she can buy? A. s + p $200 B. s + p > 5 $24.49s + $36.99p 5 $36.99s + $24.49p < $200

Answer 1

Your answer choices are a bit jumbled and some symbols are missing. However, the answer will involve the two inequalities

`s+p \ge 5 \ \text{ and } \ 24.49s+36.99p \le 200`

The first inequality is the idea where she wants to buy at least 5 articles of clothing. The expression s+p is the total amount of sweaters and pants purchased, and we want this quantity to be 5 or larger.

The second inequality has the total amount spent (24.49s+36.99p) to be at most 200 dollars. In other words, we want the amount spent to be $200 or less.

24.49s = amount spent on just the sweaters

36.99p = amount spent on just the pants

24.49s+36.99p = total amount spent