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.

Question

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

50 cookies and 30 muffins
50 cookies and 30 muffins

30 cookies and 25 muffins
30 cookies and 25 muffins

40 cookies and 20 muffins
40 cookies and 20 muffins

25 cookies and 30 muffins

Answer 1

To determine which combination of items Liam can sell, we need to check both the total number of items and the total revenue generated from each option.

1. 50 cookies and 30 muffins:

   • Total items = 50 + 30 = 80 (valid)
   • Total revenue = (50 * 3) + (30 * 5) = 150 + 150 = $300 (valid)

2. 30 cookies and 25 muffins:

   • Total items = 30 + 25 = 55 (valid)
   • Total revenue = (30 * 3) + (25 * 5) = 90 + 125 = $215 (invalid)

3. 40 cookies and 20 muffins:

   • Total items = 40 + 20 = 60 (valid)
   • Total revenue = (40 * 3) + (20 * 5) = 120 + 100 = $220 (invalid)

4. 25 cookies and 30 muffins:

   • Total items = 25 + 30 = 55 (valid)
   • Total revenue = (25 * 3) + (30 * 5) = 75 + 150 = $225 (invalid)

From the options, the only valid 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.