: The manager of a food store wants to create a blend of herbs that she can sell for $1 per once. She decides to make 8 ounces of a blend of oregano and sage. What will be the ratio of oregano to sage in the mixture?
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What are the prices of the herbs?
To determine the ratio of oregano to sage in the mixture, we need to consider the total amount of herbs and their proportions.
Let's assume the ratio of oregano to sage is "x:y".
Given that there are 8 ounces of the blend, we can set up the following equation based on the total amount of herbs:
x + y = 8
The manager plans to sell the blend for $1 per ounce. To maintain a fair price, the ratio of the ingredients should be such that the cost of each ingredient is the same.
Assuming both oregano and sage have the same cost per ounce, we can set up another equation based on the cost:
(1 * x) / x + (1 * y) / y = 1
Simplifying the equation, we get:
1 + 1 = 1
Since 1 + 1 = 2, this equation is not valid. It suggests that the cost of oregano and sage is NOT the same per ounce.
Therefore, without any additional information, we cannot determine the exact ratio of oregano to sage in the mixture.