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Answer :
To find the cost per ounce of the mixture of two types of cologne, follow these steps:
1. Find the cost of each type of cologne:
- For the first type of cologne:
- Quantity: [tex]\(240\)[/tex] ounces
- Cost per ounce: [tex]\(\$7.50\)[/tex]
- Total cost: [tex]\(240 \cdot 7.50 = \$1800.00\)[/tex]
- For the second type of cologne:
- Quantity: [tex]\(600\)[/tex] ounces
- Cost per ounce: [tex]\(\$4.00\)[/tex]
- Total cost: [tex]\(600 \cdot 4.00 = \$2400.00\)[/tex]
2. Calculate the total quantity and total cost of the mixture:
- Total quantity:
[tex]\[ 240 \, \text{ounces} + 600 \, \text{ounces} = 840 \, \text{ounces} \][/tex]
- Total cost:
[tex]\[ \$1800.00 + \$2400.00 = \$4200.00 \][/tex]
3. Determine the cost per ounce of the mixture:
- Cost per ounce of the mixture:
[tex]\[ \frac{\$4200.00}{840 \, \text{ounces}} = \$5.00 \text{ per ounce} \][/tex]
So, the cost per ounce of the mixture is $5.00 per ounce.
1. Find the cost of each type of cologne:
- For the first type of cologne:
- Quantity: [tex]\(240\)[/tex] ounces
- Cost per ounce: [tex]\(\$7.50\)[/tex]
- Total cost: [tex]\(240 \cdot 7.50 = \$1800.00\)[/tex]
- For the second type of cologne:
- Quantity: [tex]\(600\)[/tex] ounces
- Cost per ounce: [tex]\(\$4.00\)[/tex]
- Total cost: [tex]\(600 \cdot 4.00 = \$2400.00\)[/tex]
2. Calculate the total quantity and total cost of the mixture:
- Total quantity:
[tex]\[ 240 \, \text{ounces} + 600 \, \text{ounces} = 840 \, \text{ounces} \][/tex]
- Total cost:
[tex]\[ \$1800.00 + \$2400.00 = \$4200.00 \][/tex]
3. Determine the cost per ounce of the mixture:
- Cost per ounce of the mixture:
[tex]\[ \frac{\$4200.00}{840 \, \text{ounces}} = \$5.00 \text{ per ounce} \][/tex]
So, the cost per ounce of the mixture is $5.00 per ounce.
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