Final answer:
To make 14 ounces of seasoning with a basil to oregano ratio of 5:2, a chef needs 10 ounces of basil and 4 ounces of oregano.
Step-by-step explanation:
The student's question involves a chef making a seasoning mix with basil and oregano in a ratio of 5 to 2 and wanting to know how many ounces of each are needed to make 14 ounces of seasoning. To solve this, we set up a ratio and proportion calculation.
Step-by-Step Solution:
- Identify the total parts in the ratio: 5 parts basil + 2 parts oregano = 7 parts total.
- Determine the value of each part: 14 ounces seasoning / 7 parts = 2 ounces per part.
- Calculate the quantity of basil needed: 5 parts basil x 2 ounces per part = 10 ounces basil.
- Calculate the quantity of oregano needed: 2 parts oregano x 2 ounces per part = 4 ounces oregano.
Therefore, the chef needs 10 ounces of basil and 4 ounces of oregano to make 14 ounces of seasoning.