Question 1051843
MISTAKE FOUND*


Ken has x sweets.
Ivan has y sweets.




<i> ken gave away 5/7 of his sweets, he had 2/3 as many as ivan.</i>
{{{(2/7)x=(2/3)y}}}



<i>ivan then gave away 120 sweets and he had 1/4 as many sweets as ken.</i>
{{{y-120=(1/4)(2/7)x}}}



Simplify each equation.
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{{{x=(7/2)(2/3)y}}}
{{{x=(7/3)y}}}
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*  {{{y-120=(7/2)x}}}-------------MISTAKE HERE!  Ruins the rest of the work.
{{{y=(7/2)x+120}}}
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Substitute for x.
{{{y=(7/2)(7/3)y+120}}}
Solve this for y.
{{{y=(49/6)y+120}}}
{{{6y=49y+6*120}}}
{{{0=43y+720}}}---------------This makes no sense.  y would be negative.



* MISTAKE IDENTIFIED; solution process not yet corrected