document.write( "Question 1157728: Mona is spinning yarn using different materials. She is combining wool fibers, which cost 45.70$ per kilogram, and acrylic, which costs $15.95 per kilogram. Overall, the finished product will cost $27.85 per kilogram. If Mona has 5 kilogram of wool on hand, how many kilograms of the acrylic fiber will she need? \n" ); document.write( "

Algebra.Com's Answer #781119 by Shin123(626) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is the solution to the equation @josgarithmetic, \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: Solve an equation

This is a solution to the equation:
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=7.39583333333333.
Graphical form: Equation $\"5%2A45.7%2B15.95x=27.95%2A%28x%2B5%29\"$ was fully solved.
Text form: 5*45.7+15.95x=27.95*(x+5) simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+5%2A45.7%2B15.95x=27.95%2A%28x%2B5%29+%29\"$
For tutors: simplify_cartoon( 5*45.7+15.95x=27.95*(x+5) )
If you have a website, here's a link to this solution.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at $\"highlight_red%28+5%2A45.7+%29%2B15.95%2Ax=27.95%2A%28x%2B5%29\"$ .
Moved $\"5%2A45.7\"$ to the right of expression
It becomes $\"15.95%2Ax%2Bhighlight_green%28+5%2A45.7+%29=27.95%2A%28x%2B5%29\"$ .
\n" ); document.write( "

Look at $\"15.95%2Ax%2B5%2A45.7=highlight_red%28+27.95%2A%28x%2B5%29+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-27.95%2A%28x%2B5%29+%29\"$
It becomes $\"15.95%2Ax%2B5%2A45.7-highlight_green%28+27.95%2A%28x%2B5%29+%29=0\"$ .
\n" ); document.write( "

Look at $\"15.95%2Ax%2Bhighlight_red%28+5%2A45.7+%29-27.95%2A%28x%2B5%29=0\"$ .
Moved $\"5%2A45.7\"$ to the right of expression
It becomes $\"15.95%2Ax-27.95%2A%28x%2B5%29%2Bhighlight_green%28+5%2A45.7+%29=0\"$ .
\n" ); document.write( "

Look at $\"15.95%2Ax-highlight_red%28+27.95%2A%28x%2B5%29+%29%2B5%2A45.7=0\"$ .
Expanded term $\"-27.95\"$ by using associative property on $\"%28x%2B5%29\"$
It becomes $\"15.95%2Ax-highlight_green%28+27.95%2Ax+%29-highlight_green%28+27.95%2A5+%29%2B5%2A45.7=0\"$ .
\n" ); document.write( "

Look at $\"15.95%2Ax-27.95%2Ax-highlight_red%28+27.95%2A5+%29%2Bhighlight_red%28+5%2A45.7+%29=0\"$ .
Replace constants in expression: $\"highlight_red%28+-27.95%2A5+%29\"$ , $\"highlight_red%28+5%2A45.7+%29\"$ with $\"highlight_green%28+88.75+%29\"$
It becomes $\"highlight_green%28+88.75+%29%2B15.95%2Ax-27.95%2Ax=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+88.75+%29%2B15.95%2Ax-27.95%2Ax=0\"$ .
Moved $\"88.75\"$ to the right of expression
It becomes $\"15.95%2Ax-27.95%2Ax%2Bhighlight_green%28+88.75+%29=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+15.95%2Ax+%29-highlight_red%28+27.95%2Ax+%29%2B88.75=0\"$ .
Eliminated similar terms $\"highlight_red%28+15.95%2Ax+%29\"$ , $\"highlight_red%28+-27.95%2Ax+%29\"$ replacing them with $\"highlight_green%28+%2815.95-27.95%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%2815.95-27.95%29%2Ax+%29%2B88.75=0\"$ .
\n" ); document.write( "

Look at $\"%28highlight_red%28+15.95+%29-highlight_red%28+27.95+%29%29%2Ax%2B88.75=0\"$ .
Added fractions or integers together
It becomes $\"%28-highlight_green%28+1200%2F100+%29%29%2Ax%2B88.75=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+%28-highlight_red%28+1200%2F100+%29%29%2Ax+%29%2B88.75=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1200+%29\"$ , $\"highlight_red%28+1%2F100+%29\"$
It becomes $\"-highlight_green%28+1200+%29%2Fhighlight_green%28+100+%29%2Ax%2B88.75=0\"$ .
\n" ); document.write( "

Look at $\"-highlight_red%28+1200+%29%2Fhighlight_red%28+100+%29%2Ax%2B88.75=0\"$ .
Factors 1200 and 100 have greatest common factor (GCF) of 100. Reducing fraction.
It becomes $\"-highlight_green%28+12+%29%2Fhighlight_green%28+1+%29%2Ax%2B88.75=0\"$ .
\n" ); document.write( "

Look at $\"-12%2Fhighlight_red%28+1+%29%2Ax%2B88.75=0\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1%2F1+%29\"$
It becomes $\"-12%2Ax%2B88.75=0\"$ .
\n" ); document.write( "

Look at $\"highlight_red%28+-12%2Ax%2B88.75+%29=0\"$ .
Solved linear equation $\"highlight_red%28+-12%2Ax%2B88.75=0+%29\"$ equivalent to -12*x+88.75 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=7.39583333333333.

Universal Simplifier and Solver

\n" ); document.write( "
Done!
0=0;x=7.39583333333333

\n" ); document.write( " Subtracting 88.75 from both sides, we get $\"-12x=-88.75\"$ . Multiplying both sides by -4, we get $\"48x=355\"$ So x=355/48, which is approximately 7.395833... \n" ); document.write( "

\n" );