SOLUTION: Shanice and Jaidee are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Shanice sold 14 bags of windflower bulbs

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Question 979093: Shanice and Jaidee are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Shanice sold 14 bags of windflower bulbs and 7 bags of daffodil bulbs for a total of $217. Jaidee sold 5 bags of windflower bulbs and 14 bags of daffodil bulbs for a total of $250. What is the cost each of one bag of windflower bulbs and one bag of daffodil bulbs?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = cost in dollars of 1 bag of wildflower bulbs
Let +b+ = cost in dollars of 1 bag of daffodil bulbs
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(1) +14a+%2B+7b+=+217+
(2) +5a+%2B+14b+=+250+
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Multiply both sides of (1) by +2+
and subtract (2) from (1)
(1) +28a+%2B+14b+=+434+
(2) +-5a+-+14b+=+-250+
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+23a+=+184+
+a+=+8+
and, from (1)
(1) +2a+%2B+b+=+31+
(1) +b+=+31+-+2%2A8+
(1) +b+=+31+-+16+
(1) +b+=+15+
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1 bag of wildflower bulbs costs $8
1 bag of daffodil bulbs costs $15
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check:
(2) +5a+%2B+14b+=+250+
(2) +5%2A8+%2B+14%2A15+=+250+
(2) +40+%2B+210+=+250+
(2) +250+=+250+
OK
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