SOLUTION: A store is having a sale on jelly beans and almonds. For 7 pounds of jelly beans and 9 pounds of almonds, the total cost is $46 . For 5 pounds of jelly beans and 3 pounds of almond

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A store is having a sale on jelly beans and almonds. For 7 pounds of jelly beans and 9 pounds of almonds, the total cost is $46 . For 5 pounds of jelly beans and 3 pounds of almond      Log On


   



Question 1144658: A store is having a sale on jelly beans and almonds. For 7 pounds of jelly beans and 9 pounds of almonds, the total cost is $46 . For 5 pounds of jelly beans and 3 pounds of almonds, the total cost is $20 . Find the cost for each pound of jelly beans and each pound of almonds.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost of a pound of jelly beans
Let +b+ = cost of a pound of almonds
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(1) +7a+%2B+9b+=+46+
(2) +5a+%2B+3b+=+20+
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Multiply both sides of (2) by +3+ and
subtract (1) from (2)
(2) +15a+%2B+9b+=+60+
(1) +-7a+-+9b+=+-46+
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+8a+=+14+
+a+=+1.75+
and
(2) +5%2A1.75+%2B+3b+=+20+
(2) +8.75+%2B+3b+=+20+
(2) +3b+=+11.25+
(2) +b+=+3.75+
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Jelly beans: $1.75 /lb
Almonds: $3.75 /lb
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check:
(1) +7%2A1.75+%2B+9%2A3.75+=+46+
(1) +12.25+%2B+33.75+=+46+
(1) +46+=+46+
OK