SOLUTION: Question 9 A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 4 pounds of trail mix, the total cost is $25 . For 3 pounds of jelly

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Question 1092896: Question 9
A store is having a sale on jelly beans and trail mix. For
8
pounds of jelly beans and
4
pounds of trail mix, the total cost is
$25
. For
3 pounds of jelly beans and
2
pounds of trail mix, the total cost is
$11
. Find the cost for each pound of jelly beans and each pound of trail mix.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost /pound of jelly beans
Let +b+ = cost /pound of trail mix
-------------------------------------
(1) +8a+%2B+4b+=+25+
(2) +3a+%2B+2b+=+11+
---------------------------
Multiply both sides of (2) by +2+ and
subtract (2) from (1)
(1) +8a+%2B+4b+=+25+
(2) +-6a+-+4b+=+-22+
------------------------
+2a+=+3+
+a+=+1.5+
and
(2) +3%2A1.5+%2B+2b+=+11+
(2) +4.5+%2B+2b+=+11+
(2) +2b+=+6.5+
(2) +b+=+3.25+
---------------------
Jelly beans cost $1.50/pound
Trail mix costs $3.25/pound
-------------------------------
check:
(1) +8a+%2B+4b+=+25+
(1) +8%2A1.5+%2B+4%2A3.25+=+25+
(1) +12+%2B+13+=+25+
(1) +25+=+25+
OK