SOLUTION: Total 356 students 34 more than 4 times the number of girls is = to half the boys. How many are boys? X=girls Y=boys 4x+34=1/2y

Algebra ->  Linear-equations -> SOLUTION: Total 356 students 34 more than 4 times the number of girls is = to half the boys. How many are boys? X=girls Y=boys 4x+34=1/2y      Log On


   

Question 952919: Total 356 students
34 more than 4 times the number of girls is = to half the boys.
How many are boys?
X=girls
Y=boys
4x+34=1/2y
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
X=girls
Y=boys
total 356 students
=> X%2BY=356......eq.1...solve for X
X=356-Y......eq.1a

34 more than 4 times the number of girls:4X%2B34
is = to half the boys: Y%2F2
=> 4X%2B34=Y%2F2......eq.2...substitute X from eq.1a

4%28356-Y%29%2B34=Y%2F2......solve for Y
1424-4Y%2B34=Y%2F2
1458-4Y=0.5Y
1458=4.5Y
1458%2F4.5=Y
14580%2F45=Y
highlight%28Y=324%29-> the number of boys

X=356-Y......eq.1a
X=356-324
highlight%28X=32%29-> the number of girls