High School

If four times a certain number, increased by 6, is equal to 94, what is the number?

If \( x \) represents the number, then which of the following equations could be used to solve the problem?

A. \( 4x + 6 = 94 \)
B. \( 4x - 6 = 94 \)
C. \( x + 6 = 94 \)
D. \( 4 + x = 94 \)

Answer :

The student is looking for the equation 4x + 6 = 94 to find a certain number. By subtracting 6 from both sides and then dividing by 4, we find that x = 22.

If four times a certain number, increased by 6 is equal to 94, we are dealing with a simple algebra problem. To represent this scenario, we use x as our unknown number. The equation that represents this situation is 4x + 6 = 94. Solving for x would involve the following steps:

Subtract 6 from both sides of the equation: 4x + 6 - 6 = 94 - 6, which simplifies to 4x = 88.

Divide both sides by 4: 4x / 4 = 88 / 4, resulting in x = 22.

Thus, the number the student is looking for is 22.