Question

students at hillsboro high school were polled regarding their favorite drinks.
drink preferences
root beer $\frac{1}{4}$
iced tea $\frac{1}{3}$
lemon - lime soda $\frac{5}{12}$
if 828 students were polled, how many more of them preferred iced tea than root beer?
$square$ students

Explanation:

Step1: Find the difference in fractions

First, find the difference between the fraction of students who prefer iced tea ($\frac{1}{3}$) and root beer ($\frac{1}{4}$).
$\frac{1}{3} - \frac{1}{4} = \frac{4}{12} - \frac{3}{12} = \frac{1}{12}$

Step2: Multiply by total number of students

Now, multiply this difference by the total number of students (828) to find how many more students preferred iced tea than root beer.
$828 \times \frac{1}{12} = \frac{828}{12} = 69$

Answer:

69