document.write( "Question 214968: Hi i need help with a problem im stuck on: A group of 127 students and 4 teachers go on a field trip. They have vans which hold seven students and buss which hold 25. They have five more vans than buses.How many buses and vans are needed.
\n" ); document.write( "I said 7v + 25v = 131 and got stuck on this.
\n" ); document.write( "Please help
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Algebra.Com's Answer #162432 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
A group of 127 students and 4 teachers go on a field trip. They have vans which hold seven students and buss which hold 25. They have five more vans than buses. How many buses and vans are needed.\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Let x be the number of buses. Let x+5 be the number of vans.\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Let 7(x+5) be the numbers of students in the vans.\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Let 25x be the number of students in the buses.\r
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\n" ); document.write( "\n" ); document.write( "Step 4. 7(x+5)+25x=131 Total number of students and teachers in the buses and vans resulting from adding the expressions in Steps 2 and 3.\r
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\n" ); document.write( "\n" ); document.write( "Step 5. The following steps will solve the above equation in Step 4.\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: x=3.
Graphical form: Equation $\"7%2A%28x%2B5%29%2B25x=131\"$ was fully solved.
Text form: 7*(x+5)+25x=131 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+7%2A%28x%2B5%29%2B25x=131+%29\"$
For tutors: simplify_cartoon( 7*(x+5)+25x=131 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"7%2A%28x%2B5%29%2B25%2Ax=highlight_red%28+131+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-131+%29\"$
It becomes $\"7%2A%28x%2B5%29%2B25%2Ax-highlight_green%28+131+%29=0\"$ .
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Look at $\"highlight_red%28+7%2A%28x%2B5%29+%29%2B25%2Ax-131=0\"$ .
Expanded term $\"7\"$ by using associative property on $\"%28x%2B5%29\"$
It becomes $\"highlight_green%28+7%2Ax+%29%2Bhighlight_green%28+7%2A5+%29%2B25%2Ax-131=0\"$ .
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Look at $\"7%2Ax%2Bhighlight_red%28+7+%29%2Ahighlight_red%28+5+%29%2B25%2Ax-131=0\"$ .
Multiplied numerator integers
It becomes $\"7%2Ax%2Bhighlight_green%28+35+%29%2B25%2Ax-131=0\"$ .
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Look at $\"7%2Ax%2Bhighlight_red%28+35+%29%2B25%2Ax-highlight_red%28+131+%29=0\"$ .
Added fractions or integers together
It becomes $\"7%2Ax%2Bhighlight_green%28+-96+%29%2B25%2Ax=0\"$ .
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Look at $\"7%2Ax%2Bhighlight_red%28+-96+%29%2B25%2Ax=0\"$ .
Moved $\"-96\"$ to the right of expression
It becomes $\"7%2Ax%2B25%2Ax%2Bhighlight_green%28+-96+%29=0\"$ .
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Look at $\"7%2Ax%2B25%2Ax%2Bhighlight_red%28+-96+%29=0\"$ .
Removed extra sign in front of $\"-96\"$
It becomes $\"7%2Ax%2B25%2Ax-highlight_green%28+96+%29=0\"$ .
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Look at $\"highlight_red%28+7%2Ax+%29%2Bhighlight_red%28+25%2Ax+%29-96=0\"$ .
Eliminated similar terms $\"highlight_red%28+7%2Ax+%29\"$ , $\"highlight_red%28+25%2Ax+%29\"$ replacing them with $\"highlight_green%28+%287%2B25%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%287%2B25%29%2Ax+%29-96=0\"$ .
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Look at $\"%28highlight_red%28+7+%29%2Bhighlight_red%28+25+%29%29%2Ax-96=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+32+%29%29%2Ax-96=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+32+%29%29%2Ax+%29-96=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+32+%29\"$
It becomes $\"highlight_green%28+32+%29%2Ax-96=0\"$ .
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Look at $\"highlight_red%28+32%2Ax-96+%29=0\"$ .
Solved linear equation $\"highlight_red%28+32%2Ax-96=0+%29\"$ equivalent to 32*x-96 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=3.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "With x=3 , then x+5=8. Check if you have 131 students and teachers by solving 3*25+8*7=75+56=131 which is a true statement.\r
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\n" ); document.write( "\n" ); document.write( "Step 6. The number of buses is 3 and the number of vans is 8.\r
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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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