SOLUTION: 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 p

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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?
Found 2 solutions by josgarithmetic, Shin123:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
5 kg of wool
x kg of acrylic
x+5 kg of the resulting blend at $27.85


Solve this equation.
Answer by Shin123(626)   (Show Source): You can put this solution on YOUR website!
This is the solution to the equation @josgarithmetic,
Solved by pluggable solver: Solve an equation
This is a solution to the equation:
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=7.39583333333333.
  • Graphical form: Equation was fully solved.
  • Text form: 5*45.7+15.95x=27.95*(x+5) simplifies to 0=0
  • Cartoon (animation) form:
    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.

DETAILED EXPLANATION

Look at .
Moved 5%2A45.7 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-27.95%2A%28x%2B5%29+%29
It becomes .
Look at .
Moved 5%2A45.7 to the right of expression
It becomes .
Look at .
Expanded term -27.95 by using associative property on %28x%2B5%29
It becomes .
Look at .
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 .
Look at .
Moved 88.75 to the right of expression
It becomes .
Look at .
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 .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1200+%29,highlight_red%28+1%2F100+%29
It becomes .
Look at .
Factors 1200 and 100 have greatest common factor (GCF) of 100. Reducing fraction.
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-12%2Ax%2B88.75=0+%29 equivalent to -12*x+88.75 =0
It becomes .
Result:
This is an equation! Solutions: x=7.39583333333333.

Universal Simplifier and Solver


Done!
0=0;x=7.39583333333333
Subtracting 88.75 from both sides, we get . Multiplying both sides by -4, we get So x=355/48, which is approximately 7.395833...
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