I math problem

Question

THERE ARE 26 STUDENTS IN YOUR CLASS. THERE ARE FOUR MORE GIRLS THAN BOYS. USE A SYSTEM OF LINEAR EQUATIONS TO FIND HOW MANY BOYS AEE IN YOUR CLASS. HOW MANY GIRLS ARE IN YOUR CLASS?

Answer 1

Hello POnd

 

Let's set this up.

 

G = # girls in class

B = # boys in class

 

From the first sentence we know

G + B = 26

 

From the second sentence, we have

G = B + 4

Or,

G - B = 4

 

So our system of linear equations is

 

G + B = 26

G - B = 4

 

Since we have a +B in one equation and a -B in the there, we can add the two equations together and eliminate the B.  This is elimination.

 

2G = 30

Solving for G

G = 15

Given that G-B=4, 

B = 11

 

There are 11 boys and 15 girls.