Question 788648
g for Gummy bears, j for Jelly beans, their counts in pounds.


Accounting for cost, {{{3.5g+5.5j=4.00(60)}}}


Accounting for pounds of the mixture, {{{g+j=60}}}


Simplify the cost equation before handling the system.
{{{35g+55j=10*240}}}
{{{7g+11j=2*240}}}
{{{7g+11j=480}}}


The system to use may best begin in these two equations:
{{{highlight(7g+11j=480)}}}
{{{highlight(g+j=60)}}}


Solving the system: multiply 7*R2 and subtract from R1.  Find value of j; from this find value for g.





-----------------------------------------------------
Here is that described solving process carried to completion.
{{{g+j=60}}}, same as {{{7g+7j=420}}}.
{{{(7g+11j)-(7g+7j)=480-420}}}
{{{7g+11j-7g-7j=60}}}
{{{11j-7j=60}}}
{{{4j=60}}}
{{{j=15}}}
Using that back in the R2 equation or the pound-sum equation, you find {{{g=45}}}.