In a class, 45 students take the SAT exam. The number of boys is 8 more than the number of girls.
a. Write a system that models the above situation.
b. Do you need to multiply any of the equations by a constant? If so, which equation and what is the constant?
(a)
a system that models the given situation
Answer to Problem 12P
The system of equations would be
Explanation of Solution
Given information:
The total number of students = 45.
The number of girls in the class is 8 less than the number of boys in the class
Calculation:
Consider B as the number of boys and G as the number of girls. And it is given that the total number of students in the whole class is 45.
The number of girls in the class is 8 less than the number of boys in the class
Therefore the system of equations would be
Conclusion:
The system of equations would be
(b)
whether it is needed to multiply any equation with a constant
Answer to Problem 12P
No equations are required to be multiplied by a constant
Explanation of Solution
Given information:
The total number of students = 45.
The number of girls in the class is 8 less than the number of boys in the class
Calculation:
All the variables are eliminated here as every coefficient is 1 here for two variables
Conclusion:
No equations are required to be multiplied by a constant
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