document.write( "Question 214937: A cashier has a total of 126 bills, made up of fives and tens. The total value of the money is $840. How many of each kind of bill does he have? \n" ); document.write( "

Algebra.Com's Answer #162398 by drj(1380) $\"\"$ $\"About$

You can put this solution on YOUR website!
A cashier has a total of 126 bills, made up of fives and tens. The total value of the money is $840. How many of each kind of bill does he have?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 1. Let x be t;he number of fives and let 126-x be the number of tens.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 2. Let 5x be the total value consisting of fives\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 3. Let 10(126-x) be the total value consisting of tens.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 4. 5x+10(126-x)=840 Add Steps 2 and 3 to get $840.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 5. The following will solve the above equation in Step 4.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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

This is an equation! Solutions: x=84.
Graphical form: Equation $\"5x%2B10%2A%28126-x%29=840\"$ was fully solved.
Text form: 5x+10*(126-x)=840 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+5x%2B10%2A%28126-x%29=840+%29\"$
For tutors: simplify_cartoon( 5x+10*(126-x)=840 )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"5%2Ax%2B10%2A%28highlight_red%28+126+%29-x%29=840\"$ .
Moved $\"126\"$ to the right of expression
It becomes $\"5%2Ax%2B10%2A%28-x%2Bhighlight_green%28+126+%29%29=840\"$ .
\n" ); document.write( "

Look at $\"5%2Ax%2B10%2A%28-x%2B126%29=highlight_red%28+840+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-840+%29\"$
It becomes $\"5%2Ax%2B10%2A%28-x%2B126%29-highlight_green%28+840+%29=0\"$ .
\n" ); document.write( "

Look at $\"5%2Ax%2Bhighlight_red%28+10%2A%28-x%2B126%29+%29-840=0\"$ .
Expanded term $\"10\"$ by using associative property on $\"%28-x%2B126%29\"$
It becomes $\"5%2Ax-highlight_green%28+10%2Ax+%29%2Bhighlight_green%28+10%2A126+%29-840=0\"$ .
\n" ); document.write( "

Look at $\"5%2Ax-10%2Ax%2Bhighlight_red%28+10+%29%2Ahighlight_red%28+126+%29-840=0\"$ .
Multiplied numerator integers
It becomes $\"5%2Ax-10%2Ax%2Bhighlight_green%28+1260+%29-840=0\"$ .
\n" ); document.write( "

Look at $\"5%2Ax-10%2Ax%2Bhighlight_red%28+1260+%29-highlight_red%28+840+%29=0\"$ .
Added fractions or integers together
It becomes $\"5%2Ax-10%2Ax%2Bhighlight_green%28+420+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+5%2Ax+%29-highlight_red%28+10%2Ax+%29%2B420=0\"$ .
Eliminated similar terms $\"highlight_red%28+5%2Ax+%29\"$ , $\"highlight_red%28+-10%2Ax+%29\"$ replacing them with $\"highlight_green%28+%285-10%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%285-10%29%2Ax+%29%2B420=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+5+%29-highlight_red%28+10+%29%29%2Ax%2B420=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+-5+%29%29%2Ax%2B420=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+-5+%29%29%2Ax%2B420=0\"$ .
Removed extra sign in front of $\"-5\"$
It becomes $\"%28-highlight_green%28+5+%29%29%2Ax%2B420=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28-highlight_red%28+5+%29%29%2Ax+%29%2B420=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+5+%29\"$
It becomes $\"-highlight_green%28+5+%29%2Ax%2B420=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+-5%2Ax%2B420+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-5%2Ax%2B420=0+%29\"$ equivalent to -5*x+420 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=84.

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "With x=84 then 126-x=42\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Step 6. The number of fives is 84 and the number of tens is 42\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J \n" ); document.write( "

\n" );