Question

practice

1. the total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. there are 101 students in the seventh grade. write and solve an equation to find the number of students in the art class. let x represent the number of students in the art class.

Explanation:

Step1: Translate the problem into an equation

The total number of seventh - grade students is 9 more than 4 times the number of art - class students. Let \(x\) be the number of art - class students. So the equation is \(4x + 9=101\).

Step2: Solve the equation for \(x\)

Subtract 9 from both sides of the equation: \(4x+9 - 9=101 - 9\), which simplifies to \(4x = 92\).
Then divide both sides by 4: \(\frac{4x}{4}=\frac{92}{4}\), so \(x = 23\).

Answer:

The equation is \(4x + 9 = 101\) and the number of students in the art class is 23.