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

50 cookies and 30 muffins
50 cookies and 30 muffins

30 cookies and 25 muffins
30 cookies and 25 muffins

25 cookies and 30 muffins

Answer 1

To determine which combination of cookies and muffins allows Liam to raise at least $300 while selling no more than 80 items, we can calculate the total number of items and the total amount raised for each option.

1. 40 cookies and 20 muffins:

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

2. 50 cookies and 30 muffins:

   • Total items = 50 + 30 = 80
   • Total amount = (50 × $3) + (30 × $5) = $150 + $150 = $300

3. 30 cookies and 25 muffins:

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

4. 25 cookies and 30 muffins:

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

Based on these calculations:

• The combination of 50 cookies and 30 muffins raises exactly $300 and uses a total of 80 items, making it a valid option.
• The other combinations do not meet the $300 goal.

Therefore, the correct choice is 50 cookies and 30 muffins.