SOLUTION: Please help me solve this word problem: The Future Teachers of America Club at Paint Branch High School is makin a healthy trail mix to sell to students during lunch. the mix wi

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Question 281170: Please help me solve this word problem:
The Future Teachers of America Club at Paint Branch High School is makin a healthy trail mix to sell to students during lunch. the mix will have three times the number of pounds of raisins as sunflower seeds. Sunflower seeds cost $4.00 per pound, and raisins cost $1.50 per pound. If the group has $34.00 to spend on the raisins and sunflower seeds, how many pounds of each should they buy?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let r = pounds of raisins they should buy
Let s = pounds of sunflower seeds they should buy
given:
Cost of sunflower seeds = 400s (in cents)
Cost of raisins = 150r (in cents)
(1) 150r+%2B+400s+=+3400
and
(2) r+=+3s
------------
By substitution:
(1) 150%2A3s+%2B+400s+=+3400
450s+%2B+400s+=+3400
850s+=+3400
s+=+4
and, since
r+=+3s
r+=+12
They should buy 12 pounds of raisins and 4 pounds of sunflower seeds
check:
(1) 150r+%2B+400s+=+3400
(1) 150%2A12+%2B+400%2A4+=+3400
1800+%2B+1600+=+3400
3400+=+3400
OK