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Question Liam and his friends are hosting a bake sale to raise funds for their school trip. They decided to sell cookies for $3 each and muffins for $5 each. Their goal is to raise at least $300, but they want to sell no more than 80 items in total. Select one of the following combinations that Liam can sell to make at least $300 while keeping the total items sold to a maximum of 80: (1 point) Responses 40 cookies and 20 muffins 40 cookies and 20 muffins 30 cookies and 25 muffins 30 cookies and 25 muffins 25 cookies and 30 muffins 25 cookies and 30 muffins 50 cookies and 30 muffins

1 answer

Let's analyze each option to determine if they meet the criteria of raising at least $300 while selling no more than 80 items.

  1. 40 cookies and 20 muffins:

    • Items sold: 40 + 20 = 60 (Within limit)
    • Revenue: (40 * $3) + (20 * $5) = $120 + $100 = $220 (Not enough)

  2. 30 cookies and 25 muffins:

    • Items sold: 30 + 25 = 55 (Within limit)
    • Revenue: (30 * $3) + (25 * $5) = $90 + $125 = $215 (Not enough)

  3. 25 cookies and 30 muffins:

    • Items sold: 25 + 30 = 55 (Within limit)
    • Revenue: (25 * $3) + (30 * $5) = $75 + $150 = $225 (Not enough)

  4. 50 cookies and 30 muffins:

    • Items sold: 50 + 30 = 80 (At the limit)
    • Revenue: (50 * $3) + (30 * $5) = $150 + $150 = $300 (Exactly $300, meets the requirement)

The only combination that meets the goal of raising at least $300 while keeping the total items sold to a maximum of 80 is:

50 cookies and 30 muffins.