document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #397065 by dfrazzetto(283) $\"\"$ $\"About$

You can put this solution on YOUR website!
Assuming no transsexuals:\r
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\n" ); document.write( "\n" ); document.write( "B + G = 576\r
\n" ); document.write( "\n" ); document.write( "G = B + 76\r
\n" ); document.write( "\n" ); document.write( "B + B + 76 = 576\r
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\n" ); document.write( "\n" ); document.write( "2B = 576 - 76 = 500\r
\n" ); document.write( "\n" ); document.write( "2B = 500\r
\n" ); document.write( "\n" ); document.write( "B = 250\r
\n" ); document.write( "\n" ); document.write( "G = 326\r
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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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.

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DETAILED EXPLANATION

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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 $\"highlight_green%28+%281%2B1%29%2AB+%29%2B76=576\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2AB%2B76=576\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+2+%29%29%2AB%2B76=576\"$ .
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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 $\"highlight_green%28+2+%29%2AB%2B76=576\"$ .
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Look at $\"2%2AB%2B76=highlight_red%28+576+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-576+%29\"$
It becomes $\"2%2AB%2B76-highlight_green%28+576+%29=0\"$ .
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Look at $\"2%2AB%2Bhighlight_red%28+76+%29-highlight_red%28+576+%29=0\"$ .
Added fractions or integers together
It becomes $\"2%2AB%2Bhighlight_green%28+-500+%29=0\"$ .
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Look at $\"2%2AB%2Bhighlight_red%28+-500+%29=0\"$ .
Removed extra sign in front of $\"-500\"$
It becomes $\"2%2AB-highlight_green%28+500+%29=0\"$ .
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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: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: B=250.

Universal Simplifier and Solver

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Done!

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