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 $22.49 each and dress pants cost $34.99 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?

Answer 1

The system of inequalities are;

p + s ≥ 5

22.49s + 34.99p ≤ 200

Where P represents number of dress pants and s represents the number of sweaters

Explanation:

Here, we want to write system of inequalities

Let the number of sweaters be s and the number of pants be p

She wants to purchase at least 5 items

When we have at least, it means that it might be greater than or equal to that value

Thus;

p + s ≥ 5

Secondly, at most the amount to be spent is the value on the gift card which is 200

Thus;

we have;

22.49s + 34.99d ≤ 200