Question 1206282

<pre>
FOOD              PRICE       QTY     COST          QTY       COST

TRAIL MIX           t    |     2       2t     |       6        6t

JELLY BEANS         j    |     3       3j     |       5        5j

COSTS TOTAL                           14                      28
</pre>
{{{system(2t+3j=14,6t+5j=28)}}}


Elimination may be simplest, and to multiply first equation by 3:

{{{system(6t+9j=42,6j+5j=28)}}}


Subtract....
{{{4j=14}}}

{{{j=7/2}}}

{{{highlight(j=3.5)}}}-------Jelly Beans,  $3.5 per pound.


{{{2t=14-3j}}}

{{{t=(14-3j)/2}}}

{{{t=(14-3*3.5)/2}}}

{{{highlight(t=1.75)}}}