SOLUTION: I am a Parent helping my child and need guidance to guide them. I would appreciate any help seeing as algebra is not my strong point. Thank you very much in advance. Here is the

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I am a Parent helping my child and need guidance to guide them. I would appreciate any help seeing as algebra is not my strong point. Thank you very much in advance. Here is the       Log On


   

Question 131413This question is from textbook Impact Mathmatics
: I am a Parent helping my child and need guidance to guide them. I would appreciate any help seeing as algebra is not my strong point. Thank you very much in advance. Here is the problem:
Problem set B question 7
In a class of 25 students, there are 7 more girls than boys. How many boys are in the class?
I figured out there are 6 boys and 19 girls, but have no idea how to get it into an equation. This question is from textbook Impact Mathmatics

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Ok, start by assigning variables to the unknown quantities:
Let B = the number of boys and G = the number of girls.
From the problem description, you can write:
1) G+B = 25 "In a class of 25 students,..." and...
2) G = B+7 "...there are 7 more girls than boys."
Now you substitute the second equation (G = B+7) for the G in the first equation (G+B = 25) and solve for B.
%28B%2B7%29%2BB+=+25 Combine like-terms.
2B%2B7+=+25 Subtract 7 from both sides.
2B+=+18 Finally, divide both sides by 2.
B+=+9 So there are 9 boys in the class.
G+=+B%2B7
G+=+9%2B7
G+=+16 and there are 16 girls in the class.