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.

Question

A. 30 cookies and 25 muffins
B. 25 cookies and 30 muffins
C. 50 cookies and 30 muffins
D. 40 cookies and 20 muffins

Answer 1

To determine which combination of cookies and muffins Liam can sell to meet the fundraising goal of at least $300 while keeping the total items sold to a maximum of 80, we can evaluate each option.

1. A. 30 cookies and 25 muffins:

   • Total items sold: 30 + 25 = 55
   • Total money raised: (30 cookies * $3) + (25 muffins * $5) = (90) + (125) = $215

2. B. 25 cookies and 30 muffins:

   • Total items sold: 25 + 30 = 55
   • Total money raised: (25 cookies * $3) + (30 muffins * $5) = (75) + (150) = $225

3. C. 50 cookies and 30 muffins:

   • Total items sold: 50 + 30 = 80
   • Total money raised: (50 cookies * $3) + (30 muffins * $5) = (150) + (150) = $300

4. D. 40 cookies and 20 muffins:

   • Total items sold: 40 + 20 = 60
   • Total money raised: (40 cookies * $3) + (20 muffins * $5) = (120) + (100) = $220

Now we check which options meet the criteria of raising at least $300 and selling no more than 80 items:

• Combination C (50 cookies and 30 muffins) raises exactly $300 and has a total of 80 items sold.

Therefore, the only valid combination that meets both criteria is C. 50 cookies and 30 muffins.