A college has two classrooms of students.

Classroom A had 70 students.

Classroom B had 30 students.

Classroom A sent groups of 4 students to Classroom B until both classrooms had the same number of students.

The equation shown can be used to find the number of groups that Classroom A sent to Classroom B so each classroom had the same number of students.

`70-4x=30+4x`

How many groups of did Classroom A send to Classroom B? Type your answer below.

1 answer

To solve the equation \( 70 - 4x = 30 + 4x \), we need to isolate \( x \).

  1. Start by adding \( 4x \) to both sides:

    \[ 70 - 4x + 4x = 30 + 4x + 4x \]

    This simplifies to:

    \[ 70 = 30 + 8x \]

  2. Next, we subtract 30 from both sides:

    \[ 70 - 30 = 30 + 8x - 30 \]

    This simplifies to:

    \[ 40 = 8x \]

  3. Now, divide both sides by 8:

    \[ x = \frac{40}{8} = 5 \]

Thus, Classroom A sent 5 groups of students to Classroom B.