Question

in a class of 50 students, the number of females is 2 more than 5 times the number of males. how many males and females are there in the class?

Explanation:

Step1: Define Variables

Let the number of males be \( x \). Then the number of females is \( 5x + 2 \).

Step2: Set Up Equation

The total number of students is 50, so \( x+(5x + 2)=50 \).

Step3: Solve Equation

Simplify: \( 6x+2 = 50 \). Subtract 2: \( 6x=48 \). Divide by 6: \( x = 8 \).

Step4: Find Females

Females: \( 5(8)+2=42 \).

Answer:

Males: 8, Females: 42