Question 1079756
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<pre>
You are given 

{{{r/y}}} = {{{2/3}}}   and   {{{b/r}}} = {{{4/7}}},   and they want you calculate {{{y/(y + b + r)}}}.


From the condition, 

{{{y/r}}} = {{{3/2}}}   and {{{b/r}}} = {{{4/7}}}.


It implies

{{{(y+b)/r}}} = {{{3/2 + 4/7}}} = {{{21/14 + 8/14}}} = {{{(21+8)/14}}} = {{{29/14}}}.


Then {{{(y+b+r)/r}}} = {{{(y+b)/r + 1}}} = {{{29/14+1}}} = {{{(29+14)/14}}} = {{{43/14}}}.


Thus we have {{r/(y+b+r)}}} = {{{14/43}}},

and the last step is

{{{y/(y+b+r)}}} = {{{(r/(y+b+r))*(y/r)}}} = {{{(14/43)*(3/2)}}} = {{{21/43}}}.

</pre>

<U>Answer</U>. &nbsp;&nbsp;{{{y/(y + b + r)}}} = {{{21/43}}}.


Solved.