SOLUTION: Kyle weighs twice as much as his younger sister Suzanne and 10 pounds less than his older sister Margaret. All together they weigh 90 pounds. How much does Margaret Weigh.

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Question 6576: Kyle weighs twice as much as his younger sister Suzanne and 10 pounds less than his older sister Margaret. All together they weigh 90 pounds. How much does Margaret Weigh.
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Suzanne's weight is 1/2 of Kyle's. Margaret's weight is Kyle's plus 10.
Suzanne+%2B+Kyle+%2B+Margaret+=+Kyle%2F2+%2B+Kyle+%2B+%28Kyle%2B10%29
All together they weigh 90 lbs:
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: Kyle=32.
  • Graphical form: Equation Kyle%2F2%2BKyle%2B%28Kyle%2B10%29=90 was fully solved.
  • Text form: Kyle/2+Kyle+(Kyle+10)=90 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+Kyle%2F2%2BKyle%2B%28Kyle%2B10%29=90+%29
    For tutors: simplify_cartoon( Kyle/2+Kyle+(Kyle+10)=90 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at Kyle%2F2%2BKyle%2Bhighlight_red%28+%28Kyle%2B10%29+%29=90.
Remove unneeded parentheses around terms highlight_red%28+Kyle+%29,highlight_red%28+10+%29
It becomes Kyle%2F2%2BKyle%2Bhighlight_green%28+Kyle+%29%2Bhighlight_green%28+10+%29=90.
Look at .
Eliminated similar terms highlight_red%28+Kyle%2F2+%29,highlight_red%28+Kyle+%29,highlight_red%28+Kyle+%29 replacing them with highlight_green%28+%281%2F2%2B1%2B1%29%2AKyle+%29
It becomes highlight_green%28+%281%2F2%2B1%2B1%29%2AKyle+%29%2B10=90.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+5%2F2+%29%29%2AKyle%2B10=90.
Look at highlight_red%28+%28highlight_red%28+5%2F2+%29%29%2AKyle+%29%2B10=90.
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+1%2F2+%29
It becomes highlight_green%28+5+%29%2Fhighlight_green%28+2+%29%2AKyle%2B10=90.
Look at 5%2F2%2AKyle%2B10=highlight_red%28+90+%29.
Moved these terms to the left highlight_green%28+-90+%29
It becomes 5%2F2%2AKyle%2B10-highlight_green%28+90+%29=0.
Look at 5%2F2%2AKyle%2Bhighlight_red%28+10+%29-highlight_red%28+90+%29=0.
Added fractions or integers together
It becomes 5%2F2%2AKyle%2Bhighlight_green%28+-80+%29=0.
Look at 5%2F2%2AKyle%2Bhighlight_red%28+-80+%29=0.
Removed extra sign in front of -80
It becomes 5%2F2%2AKyle-highlight_green%28+80+%29=0.
Look at highlight_red%28+5%2F2%2AKyle-80+%29=0.
Solved linear equation highlight_red%28+5%2F2%2AKyle-80=0+%29 equivalent to 2.5*Kyle-80 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: Kyle=32.

Universal Simplifier and Solver


Done!


So, Kyle's weight is 32 lbs and Margaret is 10 lbs heavier, so she must be 42 lbs. They are pretty little kids.