Final answer:
Montel will need to use 36 ounces of sugar to make 120 fluid ounces of lemonade. The calculation is based on setting up a proportion where 40 fluid ounces of lemonade requires 12 ounces of sugar, applied to the 120 fluid ounces of lemonade.
Step-by-step explanation:
Solving for the Amount of Sugar Required
The question asks how many ounces of sugar Montel will use if he makes 120 fluid ounces of lemonade. To solve this, we set up a proportion because the relationship between the amount of sugar and the amount of lemonade produced is a direct one. For 40 fluid ounces of lemonade, Montel uses 12 ounces of sugar. Therefore, we can say that:
40 fluid ounces of lemonade / 12 ounces of sugar = 120 fluid ounces of lemonade / x ounces of sugar
To solve for x, we cross multiply:
40 * x = 12 * 120
Now, we need to isolate x to find the answer:
x = (12 * 120) / 40
Calculating this gives us:
x = 36 ounces of sugar
So, Montel will use 36 ounces of sugar to make 120 fluid ounces of lemonade.