SOLUTION: high school graduating class is made up of 466 students. There are 212 more girls than boys. How many boys are in the class?

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: high school graduating class is made up of 466 students. There are 212 more girls than boys. How many boys are in the class?      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 685: high school graduating class is made up of 466 students. There are 212 more girls than boys. How many boys are in the class?
Answer by liz_gcmama(8) About Me  (Show Source):
You can put this solution on YOUR website!
Let's make the number of girls g and the number of boys b.
g%2Bb=466
There are 212 more girls than boys so:
g=b%2B212
If we substitute this value for g into the first equation we get:
%28b%2B212%29%2Bb=466
Get rid of the brackets:
b%2B212%2Bb=466
Add like terms:
2b%2B212=466
Subtract 212 from each side:
2b=254
Divide by 2:
b=127
So the number of boys in the class is 127.