Question

As a fundraiser for her soccer team, Leslie must raise at least $120 by selling keychains and t-shirts. Each keychain costs $4 and each t-shirt costs $10. She must sell at least 18 items in total.

Choose the correct system of linear inequalities that represents Leslie’s situations.
X = keychains, y = t-shirts

Answer 1

Answer: The correct system of linear inequalities that represents Leslie's situation is:

4x + 10y ≥ 120 (to represent the requirement to raise at least $120)

x + y ≥ 18 (to represent the requirement to sell at least 18 items in total)

x ≥ 0, y ≥ 0 (to represent that Leslie must sell a non-negative number of keychains and t-shirts)

Where x represents the number of keychains sold and y represents the number of t-shirts sold. The first inequality represents the minimum amount of money Leslie needs to raise, and the second inequality represents the minimum number of items she needs to sell. The last two inequalities represent that Leslie can only sell a non-negative number of items.

Explanation: