To determine which combination allows Liam and his friends to raise at least $300 while keeping the total items sold to a maximum of 80, we will calculate the total amount raised for each option.
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Thirty cookies and twenty-five muffins:
- Cookies: 30 * $3 = $90
- Muffins: 25 * $5 = $125
- Total raised = $90 + $125 = $215
- Total items = 30 + 25 = 55
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Forty cookies and twenty muffins:
- Cookies: 40 * $3 = $120
- Muffins: 20 * $5 = $100
- Total raised = $120 + $100 = $220
- Total items = 40 + 20 = 60
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Fifty cookies and thirty muffins:
- Cookies: 50 * $3 = $150
- Muffins: 30 * $5 = $150
- Total raised = $150 + $150 = $300
- Total items = 50 + 30 = 80
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Twenty-five cookies and thirty muffins:
- Cookies: 25 * $3 = $75
- Muffins: 30 * $5 = $150
- Total raised = $75 + $150 = $225
- Total items = 25 + 30 = 55
From these calculations, the only combination that allows Liam and his friends to raise at least $300 while keeping the total items sold to a maximum of 80 is:
Fifty cookies and thirty muffins.