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Answer :
To solve this problem, we are looking to determine which combinations of hamburgers and turkey burgers will total 90 dollars. Let's break down each option to see if they match this total.
1. Cost of a hamburger: [tex]$2.50
2. Cost of a turkey burger: $[/tex]9.00
Now, let's evaluate each given combination:
1. 15 hamburgers and 20 turkey burgers
- Cost: [tex]\( (15 \times 2.50) + (20 \times 9) \)[/tex]
- Calculation: [tex]\( 37.50 + 180 = 217.50 \)[/tex]
- This does not equal 90 dollars.
2. 45 hamburgers and no turkey burgers
- Cost: [tex]\( (45 \times 2.50) + (0 \times 9) \)[/tex]
- Calculation: [tex]\( 112.50 + 0 = 112.50 \)[/tex]
- This does not equal 90 dollars.
3. 25 hamburgers and 5 turkey burgers
- Cost: [tex]\( (25 \times 2.50) + (5 \times 9) \)[/tex]
- Calculation: [tex]\( 62.50 + 45 = 107.50 \)[/tex]
- This does not equal 90 dollars.
4. No hamburgers and 10 turkey burgers
- Cost: [tex]\( (0 \times 2.50) + (10 \times 9) \)[/tex]
- Calculation: [tex]\( 0 + 90 = 90 \)[/tex]
- This equals 90 dollars.
Based on these calculations, the only combination that results in a total cost of 90 dollars is having no hamburgers and 10 turkey burgers.
1. Cost of a hamburger: [tex]$2.50
2. Cost of a turkey burger: $[/tex]9.00
Now, let's evaluate each given combination:
1. 15 hamburgers and 20 turkey burgers
- Cost: [tex]\( (15 \times 2.50) + (20 \times 9) \)[/tex]
- Calculation: [tex]\( 37.50 + 180 = 217.50 \)[/tex]
- This does not equal 90 dollars.
2. 45 hamburgers and no turkey burgers
- Cost: [tex]\( (45 \times 2.50) + (0 \times 9) \)[/tex]
- Calculation: [tex]\( 112.50 + 0 = 112.50 \)[/tex]
- This does not equal 90 dollars.
3. 25 hamburgers and 5 turkey burgers
- Cost: [tex]\( (25 \times 2.50) + (5 \times 9) \)[/tex]
- Calculation: [tex]\( 62.50 + 45 = 107.50 \)[/tex]
- This does not equal 90 dollars.
4. No hamburgers and 10 turkey burgers
- Cost: [tex]\( (0 \times 2.50) + (10 \times 9) \)[/tex]
- Calculation: [tex]\( 0 + 90 = 90 \)[/tex]
- This equals 90 dollars.
Based on these calculations, the only combination that results in a total cost of 90 dollars is having no hamburgers and 10 turkey burgers.
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