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

40 cookies and 20 muffins
40 cookies and 20 muffins

30 cookies and 25 muffins
30 cookies and 25 muffins

50 cookies and 30 muffins
50 cookies and 30 muffins

25 cookies and 30 muffins

Answer 1

To determine which combination meets the requirements of raising at least $300 while selling no more than 80 items, we can calculate the total revenue and the total number of items for each option.

1. 40 cookies and 20 muffins:

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

2. 30 cookies and 25 muffins:

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

3. 50 cookies and 30 muffins:

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

4. 25 cookies and 30 muffins:

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

Now, evaluating the combinations:

• The first option (40 cookies and 20 muffins) raises $220, which is less than $300.
• The second option (30 cookies and 25 muffins) raises $215, which is still less than $300.
• The third option (50 cookies and 30 muffins) raises exactly $300 and has a total of 80 items, thus meets the criteria.
• The fourth option (25 cookies and 30 muffins) raises $225, which is less than $300.

The only combination that meets the goal of raising at least $300 while selling 80 or fewer items is:

50 cookies and 30 muffins.