SOLUTION: A high school graduating class is made up of 576 students. There are 76 more girls than boys. How many boys are in the class?

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Question 630614: A high school graduating class is made up of 576 students. There are 76 more girls than boys. How many boys are in the class?
Answer by dfrazzetto(283)   (Show Source): You can put this solution on YOUR website!
Assuming no transsexuals:

B + G = 576
G = B + 76
B + B + 76 = 576


2B = 576 - 76 = 500
2B = 500
B = 250
G = 326
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: B=250.
  • Graphical form: Equation was fully solved.
  • Text form: B+B+76=576 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( B+B+76=576 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+B+%29,highlight_red%28+B+%29 replacing them with highlight_green%28+%281%2B1%29%2AB+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-576+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -500
It becomes .
Look at .
Solved linear equation highlight_red%28+2%2AB-500=0+%29 equivalent to 2*B-500 =0
It becomes .
Result:
This is an equation! Solutions: B=250.

Universal Simplifier and Solver


Done!
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