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) About Me  (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 B%2BB%2B76=576 was fully solved.
  • Text form: B+B+76=576 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+B%2BB%2B76=576+%29
    For tutors: simplify_cartoon( B+B+76=576 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+B+%29%2Bhighlight_red%28+B+%29%2B76=576.
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 highlight_green%28+%281%2B1%29%2AB+%29%2B76=576.
Look at %28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2AB%2B76=576.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2AB%2B76=576.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2AB+%29%2B76=576.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2AB%2B76=576.
Look at 2%2AB%2B76=highlight_red%28+576+%29.
Moved these terms to the left highlight_green%28+-576+%29
It becomes 2%2AB%2B76-highlight_green%28+576+%29=0.
Look at 2%2AB%2Bhighlight_red%28+76+%29-highlight_red%28+576+%29=0.
Added fractions or integers together
It becomes 2%2AB%2Bhighlight_green%28+-500+%29=0.
Look at 2%2AB%2Bhighlight_red%28+-500+%29=0.
Removed extra sign in front of -500
It becomes 2%2AB-highlight_green%28+500+%29=0.
Look at highlight_red%28+2%2AB-500+%29=0.
Solved linear equation highlight_red%28+2%2AB-500=0+%29 equivalent to 2*B-500 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: B=250.

Universal Simplifier and Solver


Done!