Question

A clothing store has an inventory of at least $6200 in women's coats. A suede coat costs $150 and a cotton

coat costs $69. Write the system of inequalities that represents this situation.

Answer 1

Explanation:

Let x be the number of suede coats and y be the number of cotton coats. Then, the system of inequalities representing the situation is:

150x + 69y ≥ 6200 (the total cost of the women's coats must be at least $6200)

x ≥ 0, y ≥ 0 (the number of coats cannot be negative)

Note that this system assumes that the store only sells suede and cotton coats for women, and that there are no other costs associated with these coats (such as shipping or storage costs).

Answer 2

Let x be the number of suede coats and y be the number of cotton coats.

The total value of suede coats is 150x dollars, and the total value of cotton coats is 69y dollars.

The problem states that the inventory of women's coats is at least $6200. Therefore, we can write the following inequality:

150x + 69y ≥ 6200

Additionally, we know that x and y must be non-negative integers, since we can't have a negative number of coats. Therefore, we can write:

x ≥ 0
y ≥ 0

Taken together, the system of inequalities that represents this situation is:

150x + 69y ≥ 6200
x ≥ 0
y ≥ 0