Question

a biology class has a total of 37 students. the number of males is 9 more than the number of females. how many males and how many females are in the class?

Explanation:

Step1: Set up variables

Let the number of females be \(x\). Then the number of males is \(x + 9\).

Step2: Form an equation

The total number of students is \(37\), so \(x+(x + 9)=37\).
Simplify the left - hand side: \(2x+9 = 37\).
Subtract \(9\) from both sides: \(2x=37 - 9\), so \(2x=28\).
Divide both sides by \(2\): \(x=\frac{28}{2}=14\).

Step3: Find the number of males

Since the number of males is \(x + 9\), substitute \(x = 14\) into it. Then the number of males is \(14+9 = 23\).

Answer:

The number of females is \(14\) and the number of males is \(23\).