There are 8 more males in Sara's class than females. If 3/5 of the students are male, how many students are in Sara's class?

40 students

Step-by-step explanation:

Let

Total students in Sara's class = x

Number of males = 3/5x

Number of females = Total students - male students

= x - 3/5x

= 5x-3x/5

= 2/5x

Number of females = 2/5x

There are 8 more males in Sara's class than females.

Therefore,

Males = 2/5x + 8

Total number of students = number of males + number of females

x = 2/5x + 8 + 2/5x

x = 2x+2x/5 + 8

x = 4/5x + 8

x - 4/5x = 8

5x-4x/5 = 8

1/5x = 8

Divide both sides by 1/5

x = 8 ÷ 1/5

= 8 × 5/1

x = 40

Therefore, there are 40 students in Sara's class

Check

Males = 3/5x

= 3/5×40

= 3×8

= 24

Females = 2/3x

= 2/5 × 40

= 2 × 8

= 16

Therefore, there are 8 more males than females

366

step-by-step explanation: