Question

four more than half of the students in bryans homeroom have tickets to attend the schools musical. 20 students have tickets. select all the equations that can be used to find the number of students in bryans homeroom. a. $4 - \frac{1}{2}m = 20$ b. $\frac{1}{2}m + 4 = 20$ c. $\frac{1}{2}m - 4 = 20$ d. $4 = 20 - \frac{1}{2}m$ e. $20 + \frac{1}{2}m = 4$

Explanation:

Step1: Define variable

Let $m$ = total students in homeroom.

Step2: Translate to equation

"Four more than half $m$ equals 20"
$\frac{1}{2}m + 4 = 20$

Step3: Rearrange to check other options

Subtract 4 from both sides:
$\frac{1}{2}m = 20 - 4$ → $\frac{1}{2}m = 16$
Rearrange option D: $4 = 20 - \frac{1}{2}m$ → $\frac{1}{2}m = 20 - 4$, same as above.

Answer:

B. $\frac{1}{2} m + 4 = 20$
D. $4 = 20 - \frac{1}{2} m$