In Gloria’s class, 14 students’ favorite drink is lemonade. If this is 2/3 of the class, how many students are in the class?(1 point) Responses 28 28 21 21 48 48 42/2

Answer 1

If 14 students represent \( \frac{2}{3} \) of the class, we can set up an equation to solve for the total number of students in the class.

Let \( x \) be the total number of students in the class. We can write the equation as:

\[ \frac{2}{3}x = 14 \]

To solve for \( x \), multiply both sides by \( \frac{3}{2} \):

\[ x = 14 \times \frac{3}{2} \]

Calculating that gives:

\[ x = 14 \times 1.5 = 21 \]

Therefore, the total number of students in the class is \( \boxed{21} \).