SOLUTION: commission agent receives the following offers from two companies a)sh 1200 monthly plus 5%sales commission on the value of goods sold. b)800 sh monthly plus 9%sales comm

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Question 1012026: commission agent receives the following offers from two companies
a)sh 1200 monthly plus 5%sales commission on the value of goods sold.
b)800 sh monthly plus 9%sales commission on the value of good sold .
at which value of the goods sold is the income of both offers the same?
Answer by ValorousDawn(53) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the percent to decimal for purpose of ease. Offer 1 is
0.05x+1200, and offer 2 is 0.09x+800, x being the sales commission. Set the two equal to find when the values are equal, then solve.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=10000.
  • Graphical form: Equation 0.05x%2B1200=0.09x%2B800 was fully solved.
  • Text form: 0.05x+1200=0.09x+800 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+0.05x%2B1200=0.09x%2B800+%29
    For tutors: simplify_cartoon( 0.05x+1200=0.09x+800 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 0.05%2Ax%2B1200=highlight_red%28+0.09%2Ax%2B800+%29.
Moved these terms to the left highlight_green%28+-0.09%2Ax+%29,highlight_green%28+-800+%29
It becomes 0.05%2Ax%2B1200-highlight_green%28+0.09%2Ax+%29-highlight_green%28+800+%29=0.
Look at 0.05%2Ax%2Bhighlight_red%28+1200+%29-0.09%2Ax-highlight_red%28+800+%29=0.
Added fractions or integers together
It becomes 0.05%2Ax%2Bhighlight_green%28+400+%29-0.09%2Ax=0.
Look at 0.05%2Ax%2Bhighlight_red%28+400+%29-0.09%2Ax=0.
Moved 400 to the right of expression
It becomes 0.05%2Ax-0.09%2Ax%2Bhighlight_green%28+400+%29=0.
Look at highlight_red%28+0.05%2Ax+%29-highlight_red%28+0.09%2Ax+%29%2B400=0.
Eliminated similar terms highlight_red%28+0.05%2Ax+%29,highlight_red%28+-0.09%2Ax+%29 replacing them with highlight_green%28+%280.05-0.09%29%2Ax+%29
It becomes highlight_green%28+%280.05-0.09%29%2Ax+%29%2B400=0.
Look at %28highlight_red%28+0.05+%29-highlight_red%28+0.09+%29%29%2Ax%2B400=0.
Added fractions or integers together
It becomes %28-highlight_green%28+4%2F100+%29%29%2Ax%2B400=0.
Look at highlight_red%28+%28-highlight_red%28+4%2F100+%29%29%2Ax+%29%2B400=0.
Remove unneeded parentheses around factor highlight_red%28+4+%29,highlight_red%28+1%2F100+%29
It becomes -highlight_green%28+4+%29%2Fhighlight_green%28+100+%29%2Ax%2B400=0.
Look at -highlight_red%28+4+%29%2Fhighlight_red%28+100+%29%2Ax%2B400=0.
Factors 4 and 100 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes -highlight_green%28+1+%29%2Fhighlight_green%28+25+%29%2Ax%2B400=0.
Look at -highlight_red%28+1+%29%2F25%2Ax%2B400=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -x%2F25%2B400=0.
Look at highlight_red%28+-x%2F25%2B400+%29=0.
Solved linear equation highlight_red%28+-x%2F25%2B400=0+%29 equivalent to -0.04*x+400 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=10000.

Universal Simplifier and Solver


Done!