Final answer:
To make 27 ounces of nectar, 4.5 ounces of syrup are needed based on a 1:6 ratio of syrup to water.
Step-by-step explanation:
To calculate the amount of syrup needed to make 27 ounces of nectar, we can use the given ratio of 1 ounce of syrup to 6 ounces of water.
Since the ratio applies to the total amount of nectar, we can set up a proportion:
1 ounce of syrup / 6 ounces of water = x ounces of syrup / 27 ounces of nectar
Cross-multiplying, we get:
6 ounces of water * x ounces of syrup = 1 ounce of syrup * 27 ounces of nectar
Simplifying, we have:
6x = 27
Dividing both sides by 6, we find:
x = 4.5
Therefore, 4.5 ounces of syrup are needed to make 27 ounces of nectar.