Question

Twenty, which is 4 more than half, of the students in Bryan’s homeroom have tickets to attend the school’s musical. Choose Yes or No to tell whether each of the following equations can be used to find the number of students in Bryan’s homeroom.

4 – 12m = 20

12m + 4 = 20

12m – 4 = 20

4 = 20 – 12m

Answer 1

`4-(1)/(2)m=20`......No

`(1)/(2)m+4=20`.......Yes

`(1)/(2)m-4=20`.....No

`4=20-(1)/(2)m`......Yes

Explanation:

Let the number of students in Byran's homeroom who have tickets to attend the school's musical be m.

Then 4 more than half this number is written as:
`(1)/(2)m+4`

According to thee given statement, this expression is equal to 20.

`(1)/(2)m+4=20`

We can subtract
`(1)/(2)m` from both sides to create an equivalent expression.

`4=20-(1)/(2)m`