Question

For her birthday, Samantha received a gift card, with a value of $350, to a department store. She wants to purchase at least 5 articles of clothing for work. At the store, sweaters cost $21.49 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 < 5 $21.49s + $36.99p < $350 B. S + p > 5 $21.49s + $36.99p < $350 C. S + p > 5 $36.99s + $21.49p < $350 D. S + p < 5 $21.49s + $36.99p > $350

Answer 1

B. s + p > 5, $21.49s + $36.99p < $350

Explanation:

Let us represent

Sweater = s

Pants = p

For her birthday, Samantha received a gift card, with a value of $350, to a department store.

She wants to purchase at least 5 articles of clothing for work.

At least means , More than 5 articles of clothing

Hence:

s + p > 5

At the store, sweaters cost $21.49 each and dress pants cost $36.99 each. If Samantha does not spend more than the amount on the gift card

She does not spend more than $350

This means , she spends less than $350

Hence:

$21.49s + $36.99p < $350

Option B is the correct answer

B. s + p > 5, $21.49s + $36.99p < $350