Final answer:
To find out how many ounces of flour are needed for 30 ounces of sugar, a proportion is set up using the ratio provided. After cross-multiplying and dividing, the result is that 25 ounces of flour are needed to maintain the recipe's ratio.
Step-by-step explanation:
To determine the amount of flour needed if you use 30 ounces of sugar, given the ratio of 5 ounces of flour for every 6 ounces of sugar, you first need to set up a proportion.
5 ounces of flour / 6 ounces of sugar = x ounces of flour / 30 ounces of sugar
Cross-multiply to find the value of x:
5 * 30 = x * 6
150 = 6x
Divide both sides by 6 to solve for x:
150 / 6 = x
x = 25 ounces
Therefore, you should use 25 ounces of flour if you are using 30 ounces of sugar.
The correct answer from the options provided is b) 25 ounces.