In a class of 35 students, the number of males is 15 more than the number of females. How many males and females are there in the class? Let: m be the number of males in the class I be the number of females in the class
Equations:
Answer:
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Problem:
In a class of 35 students, the number of males is 15 more than the number of females. How many males and females are there in the class?
Solution:
Let m be the number of males in the class
Then let f be the number of females in the class.
In representation of the students in the class:
Equation 1:
Equation 2:
Then, let's solve the linear equation using by substitution method.
Substitute the given value of m into the first equation. Then, solve the equation.
Substitute the given value of f into the value of m which is the second equation and then, solve the value of m.
Checking:
Check the values of the variables obtained by substituting to the linear equations in the system.
Equation 1:
Equation 2:
Answer:
∴ Therefore, the number of males is 25 and the number of females is 10 to the class of 35 students.
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