solve each problem by setting up and solving an appropriate system of equations. How many females are there in the class?

Clifland

Clifland

Answered question

2021-09-09

solve each problem by setting up and solving an appropriate system of equations. In a class of 50 students, the number of females is two more than five times the number of males. How many females are there in the class?

Answer & Explanation

hajavaF

hajavaF

Skilled2021-09-10Added 90 answers

It is given that total number of students is 50.
Let the number of male students is x and the number of female students is y Then,
x+y=50......(i)

It is given that the number of females is two more than 5 times the number of males, y=5x+2, 5xy=2...

On solving two equations, we will get the number of males and females.

On adding both the equations, we get 6x=48

Hence, the number of females can be given as, y=5842=40+2y=42

Therefore, the number of males is 8 and the number of females is 42.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-14Added 2605 answers

Answer is given below (on video)

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